Solving Two Step Inequalities

What is the first step in solving a two-step inequality?

• Flip the inequality sign

• Isolate the variable

• Multiply or divide to eliminate coefficients

• Add or subtract to eliminate constants

If you have the inequality 3x < 24, what should you do next?

• Multiply both sides by 3

• Add 3 to both sides

• Subtract 3 from both sides

• Divide both sides by 3

When solving the inequality -2x > 6, what must you remember to do?

• Keep the inequality sign the same

• Flip the inequality sign

• Subtract 2 from both sides

• Add 2 to both sides

In the inequality -3x ≤ -24, what is the result after dividing both sides by -3?

• x ≥ -8

• x ≤ 8

• x ≥ 8

• x ≤ -8

What operation should you perform first when solving the inequality x/3 - 10 < -4?

• Divide both sides by 3

• Multiply both sides by 3

• Add 10 to both sides

• Subtract 10 from both sides

After adding 10 to both sides of the inequality x/3 - 10 < -4, what is the next step?

• Add 10 to both sides

• Subtract 10 from both sides

• Divide both sides by 3

• Multiply both sides by 3

When solving the inequality x/4 + 7 ≤ -5, what should you do after subtracting 7 from both sides?

• Divide both sides by 4

• Subtract 7 from both sides

• Multiply both sides by 4

• Add 7 to both sides

In the inequality 6 < 3x - 1, what is the first step to isolate the variable?

• Add 1 to both sides

• Subtract 1 from both sides

• Multiply both sides by 3

• Divide both sides by 3

After isolating the variable in the inequality 6 < 3x - 1, what is the next step?

• Add 1 to both sides

• Subtract 1 from both sides

• Multiply both sides by 3

• Divide both sides by 3

When rewriting the inequality 2 < x, what must you remember to do?

• Subtract 2 from both sides

• Keep the inequality sign the same

• Flip the inequality sign

• Add 2 to both sides