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In President Donald Trump's first formal address to the nation from the Oval Office, he painted a picture of a national threat and humanitarian crisis occurring along the U.S.-Mexico border, saying his signature border wall would provide a solution.Here is a partial list of statements made by Trump and also by House Speaker Nancy Pelosi and Senate Democratic leader Chuck Schumer and the context of their statements:Trump: "All Americans are hurt by uncontrolled illegal migration." It's very difficult to know exactly how much or little undocumented immigrants cost the United States. Many experts contest the notion that undocumented immigrants are a strain on the economy. A 2017 analysis noted that undocumented immigrants "make considerable tax contributions," for example.Similarly, a 2018 study by the libertarian Cato Institute, which reviewed criminal conviction data from the Texas Department of Public Safety, found that immigrants — legal or illegal — are less likely than native-born Americans to be convicted of crimes. Throughout the country, there is also generally a decrease in the number of violent crimes, according to the FBI.— Priscilla Alvarez, CNNTrump: "Democrats will not fund border security."THE FACTS: That's not true. They just won't fund it the way he wants. They have refused his demand for $5.7 billion to build part of a steel wall across the U.S.-Mexico borderDemocrats passed legislation the day they took control of the House that offered $1.3 billion for border security, including physical barriers and technology along the U.S. southern border.Senate Democrats have approved similar funding year after year.Democrats have also supported broader fence-building as part of deals that also had a path to legal status for millions of immigrants living in the country illegally.In 2013, Senate Democrats voted for a failed immigration bill that provided roughly $46 billion for a number of border security measures — including new fencing — but that legislation would have created a pathway to citizenship for some of the estimated 11 million immigrants living in the United States illegally.The 2013 Border Security, Economic Opportunity and Immigration Modernization Act had money to double the number of miles of fencing, to 700 miles, as well as for more border patrol agents. It also had a mandatory employment verification system to ensure all U.S. employees are authorized to work in the country. In exchange, however, the bill allowed immigrants living in the country illegally to apply for a provisional legal status if they paid a $500 fine and had no felony convictions.As well many Democrats voted for the Secure Fence Act of 2006, which has resulted in the construction of about 650 miles of border barrier. But that legislation didn't authorize the kind of wall Trump has long been advocating since he launched his campaign.— APTrump: "The wall will also be paid for indirectly by the great new trade deal we have made with Mexico."Even if the new United States Mexico Canada Agreement ends up raising tax revenue, there's nothing earmarking that money for a wall. Income and corporate taxes are general revenue that would have to be appropriated by Congress.Another way trade could bring money into the Treasury is through tariffs -- which are paid by American importers when they buy foreign goods. But like the original North American Free Trade Agreement, the new deal aims to keep trade between the three countries largely tariff-free.— Katie Lobosco, CNNTrump: "One in three women are sexually assaulted on the dangerous trek up through Mexico."Trump acknowledged the violence migrants face in transit to the United States, saying: "One in three women are sexually assaulted on the dangerous trek up through Mexico. Women and children are the biggest victims by far of our broken system. This is the tragic reality of illegal immigration on our southern border."Indeed, the trek to the U.S.-Mexico border has been reportedly to be violent. According to data from Doctors Without Borders, 68.3 percent of migrants and refugees "entering Mexico reported being victims of violence during their transit toward the United States," and nearly one-third of women said they'd been sexually abused. But this very violence is also why women have chosen to travel in caravans.— Priscilla Alvarez, CNNTrump: "Sen. Chuck Schumer has repeatedly supported a physical barrier in the past."This is correct but context is key. Schumer previously supported legislation to build physical barriers on the U.S.-Mexico border. Most notably, Schumer and other Democrats supported the 2006 Secure Fence Act that authorized the construction of several hundred miles of fencing along the border, but not a wall. However as long as the government remains shut down, Senate Minority Leader Schumer and House Speaker Nancy Pelosi have refused to offer any funding for a border barrier.— Jeremy Diamond, CNNPelosi, Schumer: Trump shut down the governmentIn her response, House Speaker Nancy Pelosi said: "The fact is: President Trump has chosen to hold hostage critical services for the health, safety and well-being of the American people and withhold the paychecks of 800,000 innocent workers across the nation — many of them veterans."In his response, Senate Democratic leader Chuck Schumer said: "The president of the United States — having failed to get Mexico to pay for his ineffective, unnecessary border wall, and unable to convince the Congress or the American people to foot the bill — has shut down the government."THE FACTS: That's one way to look at it. But it takes two sides to shut down the government. Trump's demand for $5.7 billion for his border wall is one reason for the budget impasse. The refusal of Democrats to approve the money is another.— APTrump: Southern border is a 'pipeline for vast quantities of illegal drugsIn his speech, Trump said, “Our southern border is a pipeline for vast quantities of illegal drugs, including meth, heroin, cocaine and fentanyl. Every week, 300 of our citizens are killed by heroin alone, 90 percent of which floods across from our southern border.”THE FACTS: A wall can’t do much about that when drug trafficking is concentrated at land ports of entry, not remote stretches of the border.The Drug Enforcement Administration says “only a small percentage” of heroin seized by U.S. authorities comes across on territory between ports of entry. The same is true of drugs generally.In a November report, the agency said the most common trafficking technique by transnational criminal organizations is to hide drugs in passenger vehicles or tractor-trailers as they drive into the United States though entry ports, where they are stopped and subject to inspection. They also employ buses, cargo trains and tunnels, the report says, citing other smuggling methods that also would not be choked off by a border wall.Trump recently denied that traffickers use entry ports at the southern border, contradicting the evidence and assertions of his drug enforcement personnel.— APTrump: "More Americans will die from drugs this year than were killed in the entire Vietnam War."Some 58,220 Americans died as a result of the Vietnam War. In 2017, the Centers for Disease Control and Prevention said the number of total drug overdose deaths was 70,327.However, the president's assertion is misleading, conflating the drugs coming across the U.S.-Mexico border with total drug deaths in the nation. In addition, it's not currently known whether overdose deaths will increase or decrease when the CDC releases 2018 data later this year.Trump's figures also do not distinguish between deaths caused by drugs smuggled into the country versus those prescribed by U.S. doctors.The majority of hard narcotics seized by Customs and Border Protection come through ports of entry either in packages, cargo or with people who attempt to enter the United States legally. The only drug that is smuggled in higher numbers between legal entry points is marijuana, according to information from CBP and the Drug Enforcement Administration.— Maegan Vazquez, CNN Trump: "At the request of Democrats, it will be a steel barrier rather than a concrete wall."Democrats have long been strenuously opposed to Trump's campaign promise that he would build a concrete wall on the U.S.-Mexico border. But they did not propose a steel barrier as an alternative. Rather, Democrats have continued to oppose the construction of any new steel or concrete barrier on the southern border. They have only kept the door open to funding a border barrier as part of a broader immigration deal.— Jeremy Diamond, CNNCNN and The Associated Press contributed to this report.