Simple way to solve an absolute value inequality by rewriting as compound inequality & graph

This video tutorial explains how to solve absolute value inequalities by rewriting them as compound inequalities. It covers the process of handling both positive and negative cases, solving each inequality separately, and graphing the solutions. The tutorial also discusses using test points to verify the solutions and ensure accuracy.

What is the first step in solving an absolute value inequality?

• Multiply both sides by a constant

• Add the same number to both sides

• Rewrite it as a compound inequality

• Graph the inequality on a number line

When solving the inequality 2x + 6 ≥ 10, what is the resulting inequality after subtracting 6 from both sides?

• x ≥ 2

• 2x ≥ 4

• 2x ≥ 16

• x ≥ 8

What is the solution for the inequality 2x + 6 ≤ -10 after solving it?

• x ≤ 2

• x ≤ -2

• x ≤ -8

• x ≤ 8

How do you determine which regions to shade on the number line when graphing the solution?

• Shade towards the false test points

• Shade towards the true test points

• Shade all regions

• Shade only the positive side

Why is it important to include the endpoints when graphing the solution of an inequality?

• Because they make the graph look complete

• Because they are always false

• Because they are part of the solution

• Because they are not part of the solution