To solve the inequality [tex]\(3x - 1.5 \leq 25.5\)[/tex], follow these detailed steps:
1. Isolate the variable term:
The inequality as given is [tex]\(3x - 1.5 \leq 25.5\)[/tex]. To isolate the term with the variable [tex]\(x\)[/tex], first add 1.5 to both sides of the inequality.
[tex]\[
3x - 1.5 + 1.5 \leq 25.5 + 1.5
\][/tex]
Simplifying both sides gives:
[tex]\[
3x \leq 27
\][/tex]
2. Solve for [tex]\(x\)[/tex]:
To find [tex]\(x\)[/tex], we need to divide both sides of the inequality by the coefficient of [tex]\(x\)[/tex], which is 3.
[tex]\[
\frac{3x}{3} \leq \frac{27}{3}
\][/tex]
Simplifying both sides gives:
[tex]\[
x \leq 9
\][/tex]
Thus, the solution to the inequality [tex]\(3x - 1.5 \leq 25.5\)[/tex] is:
[tex]\[
x \leq 9
\][/tex]
