Question

5. Select ALL the values of x that are solutions to the inequality: -7 - 3x - 2<-8(x + 1) *X = -0.11x = 0x = 0.1X = 0.2x = 0.3

Answer 1

Answer:

Explanation:

Given:

-7 - 3x - 2<-8(x + 1)

To find the values of x, we simplify the given inequality first.

So,

$\begin{gathered} -7-3x-2<-8\mleft(x+1\mright) \\ \text{Simplify and rearrange} \\ =-3x-9<-8\mleft(x+1\mright) \\ =-3x-9<-8x-8 \\ =-3x<-8x-8+9 \\ =-3x<-8x+1 \\ =-3x+8x<1 \\ =5x<1 \\ \text{Divide both sides by 5} \\ =x<\frac{1}{5} \\ or \\ =x<\text{ 0.2} \end{gathered}$

Therefore, the values of x should be less than 1/5 or 0.2. Based on the given choices, the values of x are:

x= -0.1

x=0

x=0.1