Unit 3 - Absolute Value - Review

Front

What is the definition of absolute value?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. It is denoted as |x|.

Front

How do you solve the inequality 0 < x + 7 < 9?

Back

The solution is -7 < x < 2.

Front

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

Back

It is an AND compound inequality.

Front

Write an inequality for the gallons of water needed: 2 gallons minimum, 8 gallons maximum.

Back

2 ≤ x ≤ 8.

Front

What is the solution to the equation |x - 3| = 0?

Back

The solution is x = 3.

Front

What does the notation |x| mean?

Back

It represents the absolute value of x.

Front

How do you express the absolute value equation |x| = a?

Back

It can be expressed as two separate equations: x = a and x = -a.

Front

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

Back

It represents all points between -a and a on the number line.

Front

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

Back

The solution set is x < -a or x > a.

Front

How do you solve the inequality |x + 4| < 3?

Back

The solution is -7 < x < -1.