2.5 Solving Compound Inequalities

Front

When solving inequalities you must _________________ the inequality when ____________________ by a negative.

Back

flip; multiplying and dividing

Front

Solve the following compound inequality: 3x − 4 < −13 or 7x + 1 > 22

Back

x < −3 or x > 3

Front

Write an inequality for Graph 2.

Back

-2 ≤ x < 5

Front

Pick the correct letter for: 6 > x

Back

B

Front

What inequality does the number line graph represent?

Back

x ≥ −5

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.

Front

What does 'or' mean in a compound inequality?

Back

At least one of the conditions must be true.

Front

How do you solve the compound inequality 2 < x + 3 < 5?

Back

Subtract 3 from all parts: -1 < x < 2.

Front

What is the solution set for the inequality x + 4 < 2?

Back

x < -2.