Alright, let's solve the inequality [tex]\(-8x \leq 2\)[/tex].
1. Initial Inequality:
Start with the inequality:
[tex]\[
-8x \leq 2
\][/tex]
2. Isolate x:
To isolate [tex]\(x\)[/tex], we need to divide both sides by [tex]\(-8\)[/tex]. However, remember that when you divide or multiply both sides of an inequality by a negative number, the direction of the inequality sign must be reversed.
[tex]\[
x \geq \frac{2}{-8}
\][/tex]
3. Simplify the Fraction:
Simplify the fraction on the right side:
[tex]\[
x \geq \frac{2}{-8} = \frac{-1}{4} = -0.25
\][/tex]
So, the solution to the inequality [tex]\(-8x \leq 2\)[/tex] is:
[tex]\[
x \geq -0.25
\][/tex]
4. Choose the correct option:
Among the given options:
[tex]\[
\text{A. } x \leq 0.25 \\
\text{B. } x \geq -0.25 \\
\text{C. } x \geq -0.30 \\
\text{D. } x \leq -0.25
\][/tex]
The correct answer is:
[tex]\[
\boxed{\text{B. } x \geq -0.25}
\][/tex]
