Answer :
To solve the inequality [tex]\(3x \leq 7.5\)[/tex], we need to isolate [tex]\(x\)[/tex] on one side. Here are the steps:
1. Divide Both Sides by 3: Since [tex]\(3x\)[/tex] means 3 times [tex]\(x\)[/tex], we can divide both sides of the inequality by 3 to solve for [tex]\(x\)[/tex].
[tex]\[
3x \div 3 \leq 7.5 \div 3
\][/tex]
2. Simplify Both Sides: When you divide [tex]\(3x\)[/tex] by 3, you are left with [tex]\(x\)[/tex]. Also, dividing 7.5 by 3 gives you 2.5.
[tex]\[
x \leq 2.5
\][/tex]
So, the solution to the inequality [tex]\(3x \leq 7.5\)[/tex] is [tex]\(x \leq 2.5\)[/tex].
1. Divide Both Sides by 3: Since [tex]\(3x\)[/tex] means 3 times [tex]\(x\)[/tex], we can divide both sides of the inequality by 3 to solve for [tex]\(x\)[/tex].
[tex]\[
3x \div 3 \leq 7.5 \div 3
\][/tex]
2. Simplify Both Sides: When you divide [tex]\(3x\)[/tex] by 3, you are left with [tex]\(x\)[/tex]. Also, dividing 7.5 by 3 gives you 2.5.
[tex]\[
x \leq 2.5
\][/tex]
So, the solution to the inequality [tex]\(3x \leq 7.5\)[/tex] is [tex]\(x \leq 2.5\)[/tex].
