Understanding Inequalities with Multiplication and Division

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

• The inequality symbol is removed.

• The inequality symbol is reversed.

• The inequality symbol remains the same.

• The inequality symbol becomes an equal sign.

If you have the inequality x/(-3) < 5, what is the correct solution for x?

• x < -15

• x > -15

• x < 15

• x > 15

When dividing both sides of an inequality by a positive number, what happens to the inequality symbol?

• It is removed.

• It is reversed.

• It becomes an equal sign.

• It remains unchanged.

In the inequality 4x ≥ 10, what is the solution for x?

• x ≥ 2.5

• x ≤ -2.5

• x ≤ 2.5

• x ≥ -2.5

How do you graph the solution x ≤ 24 on a number line?

• Closed circle at 24, shaded to the right

• Open circle at 24, shaded to the left

• Open circle at 24, shaded to the right

• Closed circle at 24, shaded to the left

What is the reciprocal of -1/6, and how does it affect the inequality when used?

• -6, and it reverses the inequality symbol

• 6, and it keeps the inequality symbol the same

• -6, and it keeps the inequality symbol the same

• 6, and it reverses the inequality symbol

In the inequality 3x ≥ -9, what is the correct solution for x?

• x ≥ -3

• x ≤ -3

• x ≥ 3

• x ≤ 3

If -12x < 84, what is the solution for x?

• x < 7

• x > -7

• x < -7

• x > 7

What is the solution for x in the inequality -2/3x ≥ 12?

• x ≤ -18

• x ≥ -18

• x ≥ 18

• x ≤ 18

How do you express the solution x < -8 in set builder notation?

• {x | x ≤ -8}

• {x | x > -8}

• {x | x ≥ -8}

• {x | x < -8}