Question

I need Urgent Help!! Can you please show me how you solve this step by step? 4-7x>-5(4+x)

Answer 1

The answer of this inequality is: x < 12

Explanation:

1) First, place out what is given:

`4 - 7x>-5(4+x)`

2) Distribute -5 to (4 + x)

`4 - 7x > -20-5x`

3) We want to get x by itself, so we need to move each term to their own side(s):

4 - 7x > - 20 - 5x

+20 + 7x > +20 +7x

---------------------------

24 > 2x

5) Divide both sides by 2

`(24)/(2) > (2x)/(2)`

6) Now that you have x alone, your answer is:

`x < 12`

(I changed the position of x which is why the sign turned around)