Solving Inequalities with Negative Coefficients

The video tutorial teaches how to solve inequalities in one variable with negative coefficients by rewriting them to have positive coefficients. It explains the process using example problems, demonstrating how to manipulate the inequality and verify the solution by substitution. The tutorial also covers graphing the solution on a number line and provides a second example to reinforce the concept.

What is the first step in solving the inequality -5x + 7 ≥ 12?

Explain how to obtain a positive coefficient when solving an inequality.

What does the inequality -1 ≥ x mean in terms of x?

How do you graph the inequality x ≤ -1?

What is the final result when solving the inequality 10 - 3x > 37?