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

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

Thus, the required solution is  x ≥ −0.25.

Option (A) is CORRECT.