Solving Multistep Inequalities Challenge

What is the first step in solving the inequality -2x + 2 ≤ 6?

• Multiply both sides by -2

• Add 2 to both sides

• Divide both sides by -2

• Subtract 2 from both sides

When dividing both sides of an inequality by a negative number, what must you remember to do?

• Add the same number to both sides

• Keep the inequality sign the same

• Subtract the same number from both sides

• Flip the inequality sign

In the inequality -2x ≤ 4, what is the value of x after solving?

• x ≥ -2

• x ≤ 2

• x ≥ 2

• x ≤ -2

What is the correct way to eliminate the denominator in the inequality (x/3) ≤ 7?

• Multiply both sides by 3

• Divide both sides by 3

• Add 3 to both sides

• Subtract 3 from both sides

After multiplying both sides of the inequality (x/3) ≤ 7 by 3, what is the resulting inequality?

• x ≥ 7

• x ≤ 7

• x ≥ 21

• x ≤ 21

In the inequality 4 - x > 0, what is the first step to isolate x?

• Multiply both sides by -1

• Divide both sides by -1

• Subtract 4 from both sides

• Add 4 to both sides

What is the value of x in the inequality 4 - x > 0 after solving?

• x ≤ 4

• x > 4

• x ≥ 4

• x < 4

What is the least common denominator (LCD) for the fractions 1/4, 1/3, and 1/12?

• 16

• 12

• 4

• 3

After multiplying each term by the LCD in the inequality (x/4) + (2/3) ≤ (3/12), what is the resulting inequality?

• 3x + 8 ≥ 9

• 3x + 8 ≤ 9

• 4x + 6 ≤ 12

• 4x + 6 ≥ 12

What is the value of x in the inequality 3x + 8 ≤ 9 after solving?

• x ≤ 3

• x ≥ 1/3

• x ≤ 1/3

• x ≥ 3