To solve the inequality [tex]\(6 - 4x \leq 26\)[/tex], let's follow a step-by-step approach:
1. Isolate the linear term involving [tex]\(x\)[/tex]:
[tex]\[
6 - 4x \leq 26
\][/tex]
Subtract 6 from both sides to eliminate the constant term on the left side:
[tex]\[
6 - 4x - 6 \leq 26 - 6
\][/tex]
Simplifying, we get:
[tex]\[
-4x \leq 20
\][/tex]
2. Solve for [tex]\(x\)[/tex]:
Divide both sides by -4. Remember that when you divide both sides of an inequality by a negative number, you must reverse the inequality sign:
[tex]\[
\frac{-4x}{-4} \geq \frac{20}{-4}
\][/tex]
Simplifying, we get:
[tex]\[
x \geq -5
\][/tex]
So, the solution to the inequality [tex]\(6 - 4x \leq 26\)[/tex] is:
[tex]\[
x \geq -5
\][/tex]
Therefore, the correct answer is:
[tex]\[ D. x \geq -5 \][/tex]
