Solving a multi-step inequality with variables on both sides

The video tutorial explains how to solve inequalities with one variable. It covers combining like terms, solving inequalities by eliminating smaller variables, and using alternative methods. The tutorial also demonstrates graphing solutions and understanding inequality signs.

What is the first step when you have multiple terms with the same variable in an equation?

• Multiply all terms by the same number

• Combine like terms

• Divide each term by the variable

• Add a constant to both sides

When simplifying an inequality, why is it helpful to eliminate the smaller variable?

• To increase the number of variables

• To avoid negative numbers

• To make the equation more complex

• To make the equation longer

What happens when you divide both sides of an inequality by a negative number?

• The inequality sign disappears

• The inequality sign stays the same

• The inequality sign reverses

• The inequality becomes an equation

How do you represent a solution that includes the endpoint on a number line?

• With a shaded area

• With a dashed line

• With a closed dot

• With an open dot

In which direction do you shade the number line for the inequality P ≥ -4?

• Both directions from -4

• To the right of -4

• No shading is needed

• To the left of -4