Question

Solve for x: 4−(x+2)<−3(x+4)

A) x>−9
B) Ox>−7
C) x<−9
D) X−7

Answer 1

We can solve the inequality 4−(x+2) < −3(x+4) by distributing the terms and isolating the variable x. The solution is x < -7.

Step-by-step explanation:

We can solve the inequality 4−(x+2) < −3(x+4) by first distributing the -3 to (x+4), which gives us: 4−(x+2) < -3x - 12. Next, we can distribute the -1 to (x+2) which gives us: 4 - x - 2 < -3x - 12. Combining like terms, we get: 2 - x < -3x - 12. Now, let's isolate the variable x by adding 3x to both sides: 2 + 2x < -12. To isolate x, we subtract 2 from both sides: 2x < -14. Finally, we divide both sides by 2 to solve for x: x < -7.