Question

what is - 4x +7 > x -13

Answer 1

Answer:

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

Step-by-step 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

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

Answer 2

Answer:

$x < \bf 4$

Step-by-step 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:

$x < \frac{-20}{-5}$

⇒ $x < \frac{20}{5}$

⇒ $x < \bf 4$