Answer:
The answer of this inequality is: x < 12
Step-by-step explanation:
1) First, place out what is given:
[tex]4 - 7x>-5(4+x)[/tex]
2) Distribute -5 to (4 + x)
[tex]4 - 7x > -20-5x[/tex]
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
[tex]\frac{24}{2} > \frac{2x}{2}[/tex]
6) Now that you have x alone, your answer is:
[tex]x < 12[/tex]
(I changed the position of x which is why the sign turned around)
