The Note: How Low Can They Go?

— -- NOTABLES

--BY THE NUMBERS: Seven in 10 Americans see Donald Trump unfavorably in a new ABC News/Washington Post poll, up 10 points in just the past month to a new high since he announced his candidacy for president. But Hillary Clinton reached a new high for unfavorability as well, 55 percent. The results mark the striking challenges facing both candidates, cementing their position as the two most unpopular presumptive major party nominees for president in ABC News/Washington Post polling dating to 1984. More below from ABC’s GARY LANGERhttp://abcn.ws/1UtdgdA

--A CLOSER LOOK AT TRUMP: Trump’s result reverses a boost he received after securing the Republican presidential nomination, from 37-60 percent favorable-unfavorable in mid-May to 29-70 percent now, after a week in which he took sharp criticism for suggesting that he was being treated unfairly by a federal judge because of the judge’s Mexican heritage. Trump’s unfavorable score is a point from his highest on record, 71 percent in late May last year, just before he formally entered the presidential race June 16. His decline in favorability in the past month was broadly based across groups. http://abcn.ws/1UtdgdA

--A CLOSER LOOK AT CLINTON: Clinton, while less poorly rated than Trump overall, has troubles of her own -- no bounce in favorability after clinching the Democratic contest last week. From a 44-53 percent favorable-unfavorable rating last month, she’s at 43-55 percent now. While that’s within the margin of sampling error, it’s numerically Clinton’s highest disapproval rating on record, in polls dating to her first appearance on the national stage in March 1992. http://abcn.ws/1UtdgdA

--ANALYSIS -- ABC’s RICK KLEIN: It was Orlando, of course, that drew the sharp reaction to Donald Trump by President Obama. But Obama’s speech Tuesday was a response to much more than that. He offered a repudiation of Trump’s policies and rhetoric. It was a denunciation of the last year of politics, and just about everything Trump has come to represent in the American electorate. Trump himself marches on as if nothing has changed in the political landscape or calendar.  Swap out “Lyin’ Ted” for “Crooked Hillary” – and strip away any recent polling references, of course – and a Trump speech from June could be mistaken for a Trump speech from March, or January, or maybe even last June. With little evidence that Trump is headed in the right direction – his unfavorable number reaching 70 percent in a new ABC News/Washington Post poll – this week is shaping up to be another rough one for the presumptive Republican nominee. And with a president now engaged in the fight, there could be more to come along those same lines.

YESTERDAY ON THE TRAIL with ABC’s VERONICA STRACQUALURSI and PAOLA CHAVEZ

SANDERS, CLINTON MEET FOR FIRST TIME SINCE BECOMING PRESUMPTIVE NOMINEE. On the night of the final nominating contest of the 2016 presidential primary season, presumptive Democratic nominee Hillary Clinton and her rival, Vermont Sen. Bernie Sanders, met at a downtown Washington, DC hotel, just blocks from the White House on Tuesday night. Neither candidate spoke to reporters upon leaving the one hour and 45 minute meeting, but both campaigns released similar statements. ABC’s MARYALICE PARKS, JOSH HASKELL and MICHAEL FALCONE have more. http://abcn.ws/1sFzYEY

TRUMP: NUMBER OF MUSLIM IMMIGRANTS HAVE ‘HOSTILE ATTITUDES’. A defiant Donald Trump stood behind his plans to temporarily ban refugees from entering the country, broadly decrying immigration from the Middle East. "Immigration from Afghanistan has increased five-fold. We don't know what we're doing, folks. Every year we bring in more than 100,000 lifetime immigrants from the Middle East and many more from Muslim countries outside of the Middle East. A number of these immigrants have hostile attitudes,” he told a crowd of over 6,000. ABC’s CANDACE SMITH and JOHN SANTUCCI note as he often does, Trump denounced Democratic rival Hillary Clinton’s plans to allow refugees into the country, saying that she wants to increase the number of refugees admitted by 550 percent. Trump also went on to criticize what he says, is a lack of assimilation among immigrants. http://abcn.ws/1tveo6V

OBAMA BLASTS DONALD TRUMP’S CALL TO DUB ORLANDO SHOOTING ‘RADICAL ISLAMIC TERRORISM’. President Barack Obama strongly rejected calls from Donald Trump to label the Orlando shooting "radical Islamic terrorism," blasting the presumptive Republican presidential nominee's proposals after meeting with the National Security Council Tuesday. "That's the key, they tell us, 'We can't beat ISIL unless we call them radical Islamist.' What exactly would using this label accomplish? What exactly would it change? Would it make ISIL less committed to trying to kill Americans? Would it bring in more allies? Is there a military strategy that is served by this? The answer is none of the above," Obama said at the Treasury Department. "Calling a threat by a different name does not make it go away. This is a political distraction." ABC’s JOHN PARKINSON and JORDYN PHELPS have more.  http://abcn.ws/1Ub5ua1

CLINTON: TRUMP IS ‘UNFIT AND TOTALLY UNQUALIFIED’ TO BE PRESIDENT. Hillary Clinton slammed Donald Trump’s approach to national security, arguing the country needs “leadership, common sense and concrete plans” after Sunday's massacre in Florida. Clinton, speaking in Pittsburgh yesterday, launched one of her sharpest broadsides yet against the presumptive Republican nominee, whom she labeled as “temperamentally unfit and totally unqualified to be commander in chief.” Clinton used her remarks to blast Trump's proposal to ban Muslim immigrants from entering the United States, calling it an attempt to “demonize and declare war on an entire religion.” ABC’s JOSH HASKELL and PAOLA CHAVEZ have more. http://abcn.ws/1Ub5kj0

PAUL RYAN REJECTS TRUMP’S MUSLIM BAN. House Speaker Paul Ryan stood by his criticism of Trump’s proposed ban on Muslim immigration Tuesday, saying it was against the country’s interests. “I stand by remarks,” Ryan said today in a news conference at the Republican National Committee. “I do not think a Muslim ban is in our country's interest. I do not think it is reflective of our principles.” The Wisconsin Republican, referencing the House GOP's election-year national security agenda and the House's vote last year on a proposal to pause Syrian refugee resettlement in the United States, said the "smarter way to go is to have a security test and not a religious test." ABC’s BEN SIEGEL has more: http://abcn.ws/1Ub7q2o

EXPERTS WEIGH IN ON TRUMP AND CLINTON’S PLANS TO STOP ANOTHER MASS SHOOTING. In the wake of the deadliest mass shooting in U.S. history, politicians and civilians alike are looking for answers on how to prevent the next attack. The two presumptive presidential nominees have weighed in, and while neither Donald Trump nor Hillary Clinton have given extensive details about their respective plans, there is enough to evaluate the plans' effectiveness. ABC’s MEGHAN KENEALLY has more on what the experts are saying. http://abcn.ws/21kSrlh

RUSSIAN HACKERS BREACHED DNC NETWORK. Russian government hackers were able to breach the Democratic National Committee's computers, stealing opposition research on presumptive Republican nominee Donald Trump, a Democratic Party official confirmed to ABC News Tuesday. According to the Washington Post, which first reported the news, hackers were able to access all messages and emails sent over the DNC system. ABC’s RICK KLEIN and SHUSHANNAH WALSHE report, DNC Chairwoman Debbie Wasserman Schultz, D-Fla., said the intrusion was treated like the “serious” incident it is and has contacted cybersecurity company CrowdStrike to respond to the incident. http://abcn.ws/1Yp3BGt

IN CASE YOU MISSED IT

BILL CLINTON ANTICIPATES ‘SOME CHANGES’ AT THE FAMILY’S FOUNDATION IF WIFE ELECTED PRESIDENT. In his first one-on-one interview since he started campaigning as Hillary Clinton’s most powerful surrogate in January, former President Bill Clinton Tuesday said the Clinton Foundation and his role in it would change if his wife wins the presidency in November, ABC’s MATTHEW CLAIBORNE reports. When asked Tuesday at the foundation’s annual Clinton Global Initiative America meeting in Atlanta what happens to this humanitarian effort in the event of a second Clinton White House, he cited President Obama as an example of someone who has incorporated the private sector into effective decision-making. http://abcn.ws/260Rl1l

WHO’S TWEETING?

@CWSoftballGame: News Media and Congress Face Off on Softball Field for Charity - http://NYTimes.com  http://nyti.ms/262dHPW

@TexasTribAbby: I gathered every TX Congressional Republican's position on Trump. The negativity of these endorsements is striking http://bit.ly/1sGdvaV

@tripgabriel: Excellent reporting: 58 Rust Belt union leaders say members prefer Clinton. Still, need to hear from rank & file http://bit.ly/1OoNKFW

@whignewtons: 5 Ways Trump Has Already Ruined the 2020 Race...welcome to The Truman Show. http://www.weeklystandard.com/five-ways-trump-has-already-ruined-the-2020-race/article/2002833#.V2C0C-8Z1cY.mailto …

@seanspicer: Democratic Platform Writers Lobby to Include Israeli 'Occupation' in Party Language @weeklystandard http://tws.io/21meesO