Properties of Inequalities

Consider the inequality 6 < 12. Which of the following is correct?

• 6 + 2 > 12 + 2

• 6 + 2 < 12 + 2

• 6 + 2 ≥ 12 + 2

• 6 + 2 ≤ 12 + 2

Consider the inequality -8 < 15. Which of the following is correct?

• -8 – 4 > 15 – 4

•  -8 – 4 < 15 – 4

• -8 – 4 ≥ 15 – 4

• -8 – 4 ≤ 15 – 4

Consider the inequality 9 < 13. Which of the following is correct?

• 9 x 2 < 13 x 2

• 9 x 2 > 13 x 2

• 9 x 2 ≤ 13 x 2

• 9 x 2 ≥ 13 x 2

Consider the inequality -4 < 16. Which of the following is correct?

• -4 ÷ (4) > 16 ÷ (4)

• -4 ÷ (4) < 16 ÷ (4)

•  -4 ÷ (4) ≥ 16 ÷ (4)

• -4 ÷ (4) ≤ 16 ÷ (4)

• No, because the coefficient of n is negative

• No, because the coefficient of n is positive

• Yes, because the coefficient of n is negative

• Yes, because the coefficient of n is positive

n<20

• The maximum number of drivers who passed the driving test is 20.

• The number of drivers who passed the driving test is exceed 20.

• The number of drivers who passed the driving test is less than 20.

• The minimum number of drivers who passed the driving test is 20.

Does the sign need to flip when solving?

• YES

• NO

Do I need to flip my sign?

2x - 3y ≥ 12

• Yes, because the "y" is negative.

• No, because the "y" is negative.

• Yes, because the "y" is NOT negative.

• No, because the "y" is NOT negative.

x is less than -3

• x < -3

• x > -3

• x ≤ -3

• x ≥ -3

x fewer than 6

• x < 6

• x > 6

• x ≥ 6

• x ≤ 6