Question

What is - 4x +7 > x -13

Answer 1

`x < \bf 4`

Explanation:

`-4x + 7 > x -13`

We have to make
`x` the subject of the equation:

• Subtract
`x` from both sides:

`-4x - x + 7 > -13`

⇒
`-5x + 7 > -13`

• Now subtract 7 from both sides:

`-5x > -13 - 7`

⇒
`-5x > -20`

• Next divide both sides by -5, and remember that dividing an inequality by a negative number reverses the inequality symbol:

`x < (-20)/(-5)`

⇒
`x < (20)/(5)`

⇒
`x < \bf 4`

Answer 2

`\huge\boxed{\sf x < 4}`

Explanation:

Given inequality:

-4x + 7 > x - 13

Subtract x to both sides

-4x - x + 7 > -13

-5x + 7 > -13

Subtract 7 to both sides

-5x > -13 - 7

-5x > -20

Divide -5 to both sides

x < -20/-5

x < 4

`\rule[225]{225}{2}`