Question

What is the solution to the inequality -4(5/2+3/2x)>8?

A. x > -1/2
B. x < 1/3
C. x < -3
D. x > 3

Answer 1

C

Explanation:

Given

- 4(
`(5)/(2)` +
`(3)/(2)` x) > 8 ← distribute parenthesis on left side

- 10 - 6x > 8 ( add 10 to both sides )

- 6x > 18

Divide both sides by - 6, reversing the symbol as a result of dividing by a negative quantity

x < - 3 → C