Question

Solve 6(x + 1) > 2x - 1

x > -1/2
x > -7/4
x > 0

Answer 1

B. x > -7/4

Explanation:

6(x + 1) > 2x - 1

6x + 6 > 2x - 1

6x - 2x + 6 > 2x - 2x - 1

4x + 6 > -1

4x + 6 - 6 > -1 - 6

4x > -7

(1/4) 4x > -7 (1/4)

x > -7/4

Answer 2

x > -
`(7)/(4)`

Explanation:

Given

6(x + 1) > 2x - 1 ← distribute parenthesis on left side

6x + 6 > 2x - 1 ( subtract 2x from both sides )

4x + 6 > - 1 ( subtract 6 from both sides )

4x > - 7 ( divide both sides by 4 )

x > -
`(7)/(4)`