Translating Two-Step Inequalities

Pick the correct inequality.

• A

• B

• C

• D

10 ≥ x - 3

• x ≤ 13

• x ≥ 13

• x ≤ 7

• x ≥ 7

-2(x+2) < 14

• x < - 5

• x > -5

• x < -9

• x > -9

Solve:
-2 + x ≤ -16

• x ≤ -14

• x ≥ 14

• x ≤ -18

Translate into an inequality: Six less than double a number is less than 18.

• 6 - 2x < 18

• 6 - 2 - x = -18

• 2x - 6 ≤ 18

• 2x - 6 < 18

2- 3x ≤ 20

• x  ≥ -6
• x ≤ -6
• x ≤ -7
• x  ≥ -7

Translate into a correct inequality: Six increased by twice a number is no more than 20.

• 6x + 2 ≥20

• 6x + 2 > 20

• 6 - 2x ≤20

• 6 + 2x ≤20

Which of the following is equivalent to "The product of 5 and x decreased by 3 is no more than 2."

SOLVE: Seven subtracted from n is greater than or equal to 18.

• n > 25

• n ≤ -11

• n ≥ 11

• n ≥ 25

Solve 8 + 4x > 24

• x > 4

• x > 8

• x > 64

• x < 8