Question

Solve the inequality -5/4(8x+4)<6-3x. Show your work.

Answer 1

x > -11/7

Explanation:

-10x - 5 < 6 - 3x

-5 -6 < -3x + 10x

7x > -11

x > -11/7

Answer 2

`x>-(11)/(7)`

Explanation:

Step 1: Distribute

`-(5)/(4) (8x+4)<6-3x`

`(-(5)/(4) *8x)+(-(5)/(4) *4)<6-3x`

`-(40x)/(4)-(20)/(4)<6-3x`

`-10x-5<6-3x`

Step 2: Add 10x to both sides

`-10x-5\mathbf{+10x}<6-3x\mathbf{+10x}`

`-5<6+7x`

Step 3: Subtract 6 from both sides

`-5\mathbf{-6}<6+7x\mathbf{-6}`

`-11<7x`

Step 4: Divide both sides by 7

`-11\mathbf{/7}<7x\mathbf{/7}`

`x>-(11)/(7)`

Answer:
`x>-(11)/(7)`