Question

What is the solution to the given property?
-4(2x + 1) < 3(x - 5)​

Answer 1

`\begin{bmatrix}\mathrm{Solution:}\:&\:x > 1\:\\ \:\mathrm{Interval\:Notation:}&\:\left(1,\:\infty \:\right)\end{bmatrix}`

Explanation:

Expand all intentional values

`-8x-4 < 3x-15`

Add 4 to both sides

`-8x-4+4 < 3x-15+4`

Simplify

`-8x < 3x-11`

Subtract 3x from both sides

`-8x-3x < 3x-11-3x`

Simplify

`-11x < -11`

Multiply both sides by -1 (reverse the inequality)


`\left(-11x\right)\left(-1\right) > \left(-11\right)\left(-1\right)`

Simplify

`-11x < -11`

Divide both sides by 11

`(11x)/(11) > (11)/(11)`

Simplify

`x > 1`

Your answer is

`x > 1`