Question

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

Answer 1

Answer:

The answer of this inequality is: x < 12

Step-by-step 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

$\frac{24}{2} > \frac{2x}{2}$

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)