Question

-15/4(2x-2/3)<64+11/4x help

Answer 1

[-23.27 < x]

Explanation:

Distribute -15/4 to the numbers in the parenthesis:

`(-15)/(4)*2x` =
`-(30)/(4)`

`(-15)/(4)*-(2)/(3)` =
`(5)/(2)`

`-(30)/(4) + (5)/(2) < 64 + (11)/(4)x`

Combine like terms:

`-5 < 64 + (11)/(4)x`

Subtract 64 from both sides:

`-64 < (11)/(4)x`

Multiply both sides by 4:

`-256 < 11x`

Divide both sides by 11:

`[-23.27 < x]`