Absolute Value Inequalities Review

Front

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

Back

Get absolute value alone by dividing by 5 on both sides.

Front

When graphing the solutions to "OR" inequalities, how does the shading look?

Back

Shading that points away and never crosses.

Front

What kind of inequality is |x-2|<7?

Back

AND compound inequality.

Front

Which compound inequality involves <, ≤ when solving absolute value inequalities?

Back

and.

Front

What kind of compound inequality is |x-2|>7?

Back

OR compound inequality.

Front

What does the absolute value of a number represent?

Back

The distance of that number from zero on the number line.

Front

How do you solve |x| < a?

Back

Split into two inequalities: -a < x < a.

Front

How do you solve |x| > a?

Back

Split into two inequalities: x < -a or x > a.

Front

What is the graphical representation of |x| < a?

Back

A shaded region between -a and a on the number line.

Front

What is the graphical representation of |x| > a?

Back

Two shaded regions, one to the left of -a and one to the right of a.