Solving Compound Inequalities

Front

Solve the compound inequality: 0 < x + 7 < 9

Back

−7 < x and x < 2

Front

Solve the compound inequality: −4x + 1 ≤ 21 and 5x + 2 < 22

Back

x ≥ −5 and x < 4

Front

The postal scale will weigh a maximum of 50 lbs. Write the inequality.

Back

p ≤ 50

Front

Write an inequality for Graph 3: x ≤ -2 OR x > 5

Back

x ≤ -2 OR x > 5

Front

Solve the compound inequality: 24 > -3r > -9

Back

-8 < r < 3

Front

What is a compound inequality?

Back

An inequality that combines two or more inequalities using 'and' or 'or'.

Front

What does 'and' mean in a compound inequality?

Back

Both conditions must be true for the solution to be valid.

Front

What does 'or' mean in a compound inequality?

Back

At least one of the conditions must be true for the solution to be valid.

Front

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

Back

Solve each inequality separately and find the intersection of the solutions.

Front

How do you solve a compound inequality with 'or'?

Back

Solve each inequality separately and find the union of the solutions.