Question

Which of the following is the solution to the compound inequality below? 5/2+x_>1/3 or x+2 < -29/6 A.x_>-2/3or x <-205/36 B. x_>-13/6 or x<_41/6 C. X_>-2/3 or x<_ 250/36 D.x_>-13/6 or x< -41/6

_< , _> means greater than or less than.

Answer 1

D. x ≥ -13/2 or x < -41/6

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