Question

Which of the following is a solution to the inequality?



20 - (x + 14) 9(2x + 2) - 15x

Group of answer choices

x = -5

x = -4

x = -10

x = -1

I'll give brainly if it comes within 7 minutes

Answer 1

Answer:

x = -1

Explanation:

$\sf \rightarrow 20 - (x + 14) \leq 9(2x + 2) - 15x$

distribute inside parenthesis

$\sf \rightarrow 20 - x - 14 \leq 18x + 18 - 15x$

isolate x variables in one side and integers in another side

$\sf \rightarrow - x -18x+15x\leq 18 -20+14$

simplify following

$\sf \rightarrow -4x\leq 12$

multiplying both sides by -1 changes the sign

$\sf \rightarrow 4x\geq -12$

divide both sides by 4

$\sf \rightarrow x\geq-3$

Among the group of answers, x = -1 is a solution to x ≥ -3.