Question

HELP PLEASE!

Solve the inequality.
-5/2(3x+4)<6–3x.

Answer 1

Answer: X > -32/9 I can’t put the steps I don’t know why.

Answer 2

`x>-(32)/(9)`

Explanation:

The given inequality is

`-(5)/(2)(3x+4)<6-3x`

We need to solve this inequality to find the value of x.

Using distributive property we get

`-(5)/(2)(3x)-(5)/(2)(4)<6-3x`

`-(15)/(2)x-10<6-3x`

Add 3x on both sides.

`-(15)/(2)x-10+3x<6-3x+3x`

`(-15x+6x)/(2)-10<6`

Add 6 on both sides,

`(-9x)/(2)<6+10`

`(-9x)/(2)<16`

Multiply both sides by 2.

`-9x<32`

Divide both sides by -9. The sign of inequality is changed if we multiply or divide the inequality by a negative number.

`x>-(32)/(9)`

Therefore, the value of x is
`x>-(32)/(9)`.