Exploring Solution Sets of Compound Inequalities

What is a compound inequality?

• An equation with two variables

• Two separate inequalities connected with 'and' or 'or'

• A single inequality with a complex solution

• An inequality that cannot be solved

When solving the inequality -2x + 5 < 9, what is the first step?

• Subtract 5 from both sides

• Multiply both sides by -2

• Divide both sides by 2

• Add 5 to both sides

What happens to the inequality sign when you divide by a negative number?

• It stays the same

• It switches direction

• It becomes an equal sign

• It disappears

In the inequality 3x + 8 ≤ 23, what is the solution for x?

• x ≥ 5

• x ≤ 5

• x < 5

• x > 5

How do you represent x > -2 on a number line?

• Closed circle at -2 with an arrow to the left

• Open circle at -2 with an arrow to the right

• Closed circle at -2 with an arrow to the right

• Open circle at -2 with an arrow to the left

What is the final solution set for the compound inequality -2 < x ≤ 5?

• -2 ≤ x < 5

• -2 < x < 5

• -2 < x ≤ 5

• -2 ≤ x ≤ 5

In a compound inequality connected with 'or', what is required for a solution?

• Both inequalities must be false

• Neither inequality can be true

• At least one inequality must be true

• Both inequalities must be true

What is the solution for the inequality 7x + 3 < -39?

• x ≤ -6

• x ≥ -6

• x > -6

• x < -6

How do you represent x > 8 on a number line?

• Open circle at 8 with an arrow to the left

• Closed circle at 8 with an arrow to the left

• Open circle at 8 with an arrow to the right

• Closed circle at 8 with an arrow to the right

Which value is not in the solution set for the compound inequality x < -6 or x > 8?

• x = -7

• x = 9

• x = 1

• x = -10