Solving Linear Inequalities in One Variable

What is the first step in solving the inequality x + 8 ≤ 6?

• Subtract 8 from both sides

• Divide both sides by 8

• Multiply both sides by 8

• Add 8 to both sides

Which of the following values satisfies the inequality x + 8 ≤ 6?

• -1

• 2

• 0

• -3

What does the solution set of an inequality represent?

• An equation

• A single value

• A range of values

• A constant

What is the next step after writing the inequality x + 1 > 6?

• Multiply both sides by 1

• Divide both sides by 1

• Subtract 1 from both sides

• Add 1 to both sides

Which of the following values satisfies the inequality x > 5?

• 6

• 4

• 5

• 3

What is the first step in solving the inequality 10x < 20?

• Multiply both sides by 1/10

• Divide both sides by 10

• Subtract 10 from both sides

• Add 10 to both sides

What is the solution to the inequality 10x < 20?

• x ≤ 2

• x = 2

• x > 2

• x < 2

What must you do when multiplying both sides of an inequality by a negative number?

• Add the same number to both sides

• Keep the inequality sign the same

• Subtract the same number from both sides

• Flip the inequality sign

What is the solution to the inequality -10x < 20?

• x = -2

• x ≤ -2

• x > -2

• x < -2

What is the final step in solving the inequality 5x + 1 > 11?

• Multiply both sides by 1/5

• Subtract 1 from both sides

• Add 1 to both sides

• Divide both sides by 5