Question

Which inequality describes all the solutions to 5(3 − x) < −2x + 6?

Answer 1

Given:

The inequality is

$5(3-x)$

To find:

The inequality that solution describes all the solutions to the given inequality.

Solution:

We have,

$5(3-x)$

Using distributive property, we get

$5(3)+5(-x)$

$15-5x$

$15-6$

$9$

Divide both sides by 3.

$\dfrac{9}{3}$

$3$

It can be written as

$x>3$

Therefore, the value of x is greater than 3. So, the required inequality is either $x>3$ or $3$.