Solving Compound Inequalities

Front

What is a compound inequality?

Back

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

Front

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

Back

To graph a compound inequality using 'and', find the intersection of the solutions of the individual inequalities.

Front

How do you graph a compound inequality using 'or'?

Back

To graph a compound inequality using 'or', find the union of the solutions of the individual inequalities.

Front

What does it mean to 'flip' an inequality?

Back

To 'flip' an inequality means to reverse the direction of the inequality sign when multiplying or dividing both sides by a negative number.

Front

Solve the compound inequality: 2 < x + 3 < 5

Back

-1 < x < 2.

Front

What is the solution to the inequality -4x + 14 ≤ 54?

Back

x ≥ -10.

Front

If Tucker lost fewer than 9 points, which inequality represents this situation?

Back

p < 9.

Front

Solve the inequality: -3 ≤ 2x - 1 ≤ 5

Back

-1 ≤ x ≤ 3.

Front

What happens to the inequality sign when you multiply or divide by a negative number?

Back

The inequality sign must be flipped.

Front

What is the solution to the inequality 3x - 5 > 4?

Back

x > 3.