Compound Inequalities and Absolute Value Equations

Front

What does the shading look like when graphing 'OR' inequalities?

Back

Shading that points away and never crosses.

Front

When graphing an inequality, which symbols require a closed dot?

Back

≤, ≥

Front

Evaluate the expression: | x + 9 | = -5

Back

no solution

Front

Solve the equation: |−4 + 5x| = 16

Back

{-\frac{12}{5}, 4}

Front

Solve: 3x + 2 < -7 or -4x + 5 < 1

Back

x < -3 or x > 1

Front

What is a compound inequality?

Back

An inequality that combines two or more inequalities using 'and' or 'or'.

Front

What does the symbol '|' represent in absolute value equations?

Back

It represents the distance of a number from zero on the number line.

Front

How do you solve an absolute value equation like |x| = a?

Back

Set up two equations: x = a and x = -a.

Front

What is the solution set for |x| < a?

Back

-a < x < a.

Front

What is the solution set for |x| > a?

Back

x < -a or x > a.