Which of the following is the solution to the compound inequality below? 5/2+x_>1/3 or x+2 - 2/3or x - 13/6 or x-2/3 or x-13/6 or x< - 41/6

_ means greater than or less than.

D. x ≥ - 13/2 or x < - 41/6

Step-by-step explanation:

5/2+x ≥ 1/3 ⇒ x ≥ 1/3 - 5/2 ⇒ x ≥ - 13/2

or

x+2 < - 29/6 ⇒ x < - 29/6 - 2 ⇒ x < - 41/6

So combined the answer is:

x ≥ - 13/2 or x < - 41/6

Option D is correct