Question

I WILL GIVE BRAINLIEST, AND THX

Answer 1

$4 - (x + 2) < - 3(x + 4) \\ 4 - x - 2 < - 3x - 12 \\ 2 - x < - 3x - 14 \\ (2x < - 14) \div 2 \\ x < - 7$

Answer 2

We are given the following inequality:

$4-(x+2) < -3(x+4)$

To simplify both sides, we will need to use the distributive property. On the left, the (x+2) will be multiplied by -1 since there is an understood -1. The right side will be multiplied by -3. When complete, we are left with:

$4 - x - 2 < -3x - 12$

Combine like terms

$2 - x < -3x - 12$

Add 3x to both sides, which will cancel the -3x on the right and give us 2x on the left.

$2+2x < -12$

Subtract 2 from both sides, which will cancel the +2 on the left and give us -14 on the right.

$2x < -14$

Divide both sides by 2

$\frac{2x}{2} =\frac{-14}{2}$

Since we divided by 2, we are left with only x on the left and -7 on the right. The answer is:

$x < -7$