Absolute Value Inequalities Review

Front

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

Back

Shading that always connects the 2 dots.

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

What is the correct first step when solving |x| < a?

Back

Multiply by 10.

Front

For the inequality |2x + 12| < 8, what is the correct first step?

Back

2x + 12 < 8 and 2x + 12 > -8.

Front

How do you write an inequality for Graph 3?

Back

x ≤ -2 OR x > 5.

Front

What is an absolute value inequality?

Back

An inequality that contains an absolute value expression, such as |x| < a.

Front

What does 'OR' mean in the context of inequalities?

Back

It indicates that at least one of the conditions must be true.

Front

What does 'AND' mean in the context of inequalities?

Back

It indicates that both conditions must be true.

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.