Multi-Step Inequalities

Front

What happens to the inequality symbol when you multiply or divide both sides by a negative number?

Back

You flip the inequality symbol.

Front

Solve the inequality: -3 - 6(4x + 6) > -111. What is x?

Back

x < 3

Front

A concert ticket costs $3 for students and $5 for adults. If 200 students attend and the goal is to raise at least $1,000, how many adults must attend?

Back

At least 80 adults.

Front

Solve the inequality: 6x + 2 + 6x < 14. What is x?

Back

x < 1

Front

Solve the inequality: 14 < -2a + 6 - 2a. What is a?

Back

a < -2

Front

What is a multi-step inequality?

Back

An inequality that requires more than one step to solve.

Front

What is the first step in solving the inequality 2x + 3 < 11?

Back

Subtract 3 from both sides.

Front

When solving inequalities, what should you do if you encounter a negative coefficient?

Back

Multiply or divide by a negative number and flip the inequality symbol.

Front

What is the solution set for the inequality x + 5 > 10?

Back

x > 5

Front

How do you check if your solution to an inequality is correct?

Back

Substitute the solution back into the original inequality.