Question

Here is an inequality: -7 – (3x + 2) < -8 (x+1)

A. X= -0,2
B. X = -0,1
C. X= 0
D. X= 0,1
E. X=0,2
F. X= 0,3

Answer 1

The inequality is simplified and solved to find that x < 0.2, hence the correct answer is D. X = 0.1, as it's the only option less than 0.2.

Step-by-step explanation:

To solve the inequality -7 – (3x + 2) < -8 (x+1), we need to simplify and solve for x.

1. Distribute the -1 inside the parenthesis: -7 - 3x - 2 < -8x - 8
2. Combine like terms on the left side: -9 - 3x < -8x - 8
3. Add 8x to both sides: 5x - 9 < -8
4. Add 9 to both sides: 5x < 1
5. Divide by 5 to isolate x: x < 0.2

Thus, x must be less than 0.2. The correct answer from the options given is D. X = 0.1 since it is the only value less than 0.2.