Math 7 Solving Two-Step Inequalities

Answer explanation

The first step is to add seven to both sides. Then, you have to divide both sides by -3. Any time you divide by a negative number, you must flip the inequality symbol.

True or False?: Equations have many solutions, but inequalities have only one solution.

• True

• False

Answer explanation

An equation has one solution. An inequality has many solutions, which is evident by the shading we do when we graph the solution sets of inequalities.

Answer explanation

The first step is to subtract 18 from both sides. Then, you must divide both sides by -1. Any time you divide by a negative number, you must flip the inequality symbol.

Answer explanation

The first step is to subtract 6 from both sides. Next, you must divide both sides by 7. Since you are not dividing or multiplying both sides by a negative number, you don't need to flip the symbol.

• -9

• 0

• -4

• -3

• 7

• 6.5

• 6

• -1

When you graph an inequality, you use a closed dot when you use which symbols?

• ≤, ≥

• <, >