2.5 Solving Compound Inequalities

Front

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

Back

x ≥ −5 and x < 4

Front

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

Back

flip; multiplying and dividing

Front

Solve the inequality: 3x + 2 < −4 or 4x + 4 > 24

Back

x < −2 or x > 5

Front

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

Back

x < −3 or x > 3

Front

Which compound inequality is graphed above? -2 < x ≤ 2

Back

-2 < x ≤ 2

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 simultaneously.

Front

What does 'or' mean in a compound inequality?

Back

At least one of the conditions must be true.

Front

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

Back

Find the intersection of the solution sets of the individual inequalities.

Front

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

Back

Find the union of the solution sets of the individual inequalities.