Compound inequalities

Front

Define compound inequality.

Back

A compound inequality is an inequality that combines two or more simple inequalities using the words 'and' or 'or'.

Front

What does the 'and' in a compound inequality signify?

Back

The 'and' signifies that both conditions must be true at the same time.

Front

What does the 'or' in a compound inequality signify?

Back

The 'or' signifies that at least one of the conditions must be true.

Front

Solve the compound inequality: -3 ≤ 2x - 1 ≤ 5.

Back

-1 ≤ x ≤ 3.

Front

Write the inequality -1 ≤ x ≤ 3 in interval notation.

Back

[-1, 3].

Front

Solve the compound inequality: 3x + 2 < -7 or -4x + 5 < 1.

Back

x < -3 or x > 1.

Front

Express the inequality -9 < x ≤ -4 in interval notation.

Back

(-9, -4].

Front

Solve the compound inequality: x + 8 < 3 or -8x < -40.

Back

x < -5 or x > 5.

Front

What is the solution set for the inequality 2x + 3 > 7?

Back

x > 2.

Front

How do you graph a compound inequality with 'and'?

Back

Shade the region where both inequalities overlap.