Question

Which of the following is the solution set to the inequality −2/5x+14>20?

Answer 1

x < - 15

Explanation:

Given

-
`(2)/(5)` x + 14 > 20 ( subtract 14 from both sides )

-
`(2)/(5)` x > 6 ( multiply both sides by 5 to clear the fraction )

- 2x > 30

Divide both sides by - 2, reversing the inequality symbol as a result of dividing by a negative quantity.

x < - 15

solution set is x ∈ (- ∞, - 15)