Alg2 Absolute Value Review 24-25

Front

What is an 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 write an inequality for a graph showing x ≤ -2 OR x > 5?

Back

The inequality is written as x ≤ -2 OR x > 5.

Front

Solve the inequality: 6 - 2|m - 3| > -4.

Back

The solution is -2 < m < 8.

Front

What is the correct format for writing the solution x = 2 or x = 3?

Back

The correct format is {2, 3}.

Front

What does the inequality |x| > 4 represent?

Back

It represents two cases: x > 4 OR x < -4.

Front

How do you solve an absolute value inequality like |3x + 9| > 27?

Back

You split it into two inequalities: 3x + 9 > 27 and 3x + 9 < -27.

Front

What is the solution set for the inequality |x| < 5?

Back

The solution set is -5 < x < 5.

Front

What does the notation |x| = a mean?

Back

It means x = a or x = -a.

Front

How do you graph the solution to |x| < a?

Back

You graph a number line with open circles at -a and a, shading between them.

Front

What is the difference between 'AND' and 'OR' in inequalities?

Back

'AND' means both conditions must be true, while 'OR' means at least one condition must be true.