Solving and Graphing Compound Inequalities

Front

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

Back

flip; multiplying and dividing

Front

Solve: -3 ≤ 2x - 1 ≤ 5

Back

-1 ≤ x ≤ 3

Front

0 < x + 7 < 9

Back

-7 < x and x < 2

Front

Solve: 3x + 2 < -4 or 4x + 4 > 24

Back

x < -2 or x > 5

Front

What inequality is graphed?

Back

x > 2 or x ≤ −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 compound inequalities?

Back

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

Front

What does 'or' mean in compound inequalities?

Back

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

Front

How do you graph the inequality x > 2?

Back

Draw a number line, place an open circle at 2, and shade to the right.

Front

How do you graph the inequality x ≤ -3?

Back

Draw a number line, place a closed circle at -3, and shade to the left.