Question

10. Solve the following inequality: 2(x + 1)-(-x+5) ≤-18.

OA. x≤-5
OB.X≤-20
OC.xs-37
OD.X≤-9

Answer 1

Answer : A

2(x+1)-(-x+5) < -18

Multiply

(2x+2)-(-x+5) < -18

Minus negative = positive
Minus Positive number = negative

(2x+2)+x-5 < -18

Combine / add together

3x-3 < -18

Get X by itself

3x-3 < -18
+3 +3
——————-
3x < -15

Divide entire equation by 3 so you have X

3x < -15
______ = x < -5
3

Answer 2

Let's simplify the left-hand side of the inequality first:

2(x + 1) - (-x + 5) ≤ -18

2x + 2 + x - 5 ≤ -18

3x - 3 ≤ -18

3x ≤ -15

x ≤ -5

Therefore, the solution to the inequality is x ≤ -5.

So, the correct option is A) x ≤ -5.