Understanding Inequality Sign Changes

What are the three scenarios where you might need to switch an inequality sign?

• When adding numbers, multiplying by positives, or dividing by positives

• When moving numbers, multiplying by negatives, or dividing by negatives

• When subtracting numbers, multiplying by positives, or dividing by negatives

• When moving numbers, multiplying by positives, or dividing by positives

If you have the inequality 4 < 7 and you switch the numbers, what should the new inequality be?

• 7 > 4

• 4 > 7

• 7 < 4

• 4 = 7

When moving numbers in an inequality, what happens to the inequality sign?

• It disappears

• It stays the same

• It becomes an equal sign

• It changes direction

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

• It disappears

• It stays the same

• It becomes an equal sign

• It changes direction

Solve the inequality: -2n > 20. What is the correct solution?

• n > -10

• n < 10

• n < -10

• n > 10

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

• Change the inequality sign's direction

• Keep the inequality sign the same

• Subtract a positive number from both sides

• Add a positive number to both sides

Solve the inequality: x / -7 ≤ 21. What is the correct solution?

• x ≤ 147

• x ≥ 147

• x ≤ -147

• x ≥ -147

If n / -8 ≤ -3, what is the solution for n?

• n ≥ 24

• n ≤ 24

• n ≤ -24

• n ≥ -24

Why do we switch the inequality sign when multiplying or dividing by a negative number?

• To keep the inequality balanced

• To make the inequality false

• To change the numbers involved

• To ensure the inequality remains true

What is the result of multiplying both sides of the inequality 20 > -10 by -1?

• -20 > 10

• 20 > 10

• -20 < 10

• 20 < -10