Question

Solve −8x ≤ 2.
A. x ≥ −.25
B. x ≥ −.30
C. x ≤ −.25
D. x ≤ .25

Answer 1

The answer would be A because when you divide by a negative, it flips the sign.
Hope This Helps and God Bless!

Answer 2

Answer: The correct option is (A) x ≥ −0.25.

Step-by-step explanation: We are given to solve the following inequality :

`-8x\leq2~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

We will be using the following property of inequalities :

`a\leq b~~~~~~~~~\Rightarrow -a\geq -b.`

From inequality (i), we get

`-8x\leq 2\\\\\Rightarrow -(-8x)\geq-2~~~~~~~~~~~~~~~~~~~~~~~~[\textup{Using the above property}]\\\\\Rightarrow 8x\geq -2\\\\\Rightarrow x\geq(-2)/(8)\\\\\Rightarrow x\geq -0.25.`

Thus, the required solution is x ≥ −0.25.

Option (A) is CORRECT.