Solve the inequality.

x/3-x-1/2≥1 a. x≤-3 b. x≥-3 c. x≤3 d. x≥3

x ≤-9/4

Step-by-step explanation:

x/3-x-1/2≥1

Multiply each side by 6 to get rid of the fractions

6 (x/3-x-1/2) ≥1*6

2x - 6x - 3≥6

Combine like terms

-4x-3≥6

Add 3 to each side

-4x-3+3≥6+3

-4x ≥9

Divide each side by - 4, remembering to flip the inequality

-4x/-4 ≤9/-4

x ≤-9/4