Answer :
To solve the inequality [tex]\(3x \leq 7.5\)[/tex], follow these steps:
1. Isolate the variable: You want to get [tex]\(x\)[/tex] by itself on one side of the inequality. Since [tex]\(x\)[/tex] is currently multiplied by 3, you need to do the opposite operation, which is division, to both sides of the inequality.
2. Divide both sides by 3:
[tex]\[
\frac{3x}{3} \leq \frac{7.5}{3}
\][/tex]
3. Simplify the inequality: The left side simplifies to [tex]\(x\)[/tex], and you need to complete the division on the right side:
[tex]\[
x \leq 2.5
\][/tex]
This means the solution to the inequality is [tex]\(x \leq 2.5\)[/tex]. Any value of [tex]\(x\)[/tex] that is 2.5 or less will satisfy the inequality.
1. Isolate the variable: You want to get [tex]\(x\)[/tex] by itself on one side of the inequality. Since [tex]\(x\)[/tex] is currently multiplied by 3, you need to do the opposite operation, which is division, to both sides of the inequality.
2. Divide both sides by 3:
[tex]\[
\frac{3x}{3} \leq \frac{7.5}{3}
\][/tex]
3. Simplify the inequality: The left side simplifies to [tex]\(x\)[/tex], and you need to complete the division on the right side:
[tex]\[
x \leq 2.5
\][/tex]
This means the solution to the inequality is [tex]\(x \leq 2.5\)[/tex]. Any value of [tex]\(x\)[/tex] that is 2.5 or less will satisfy the inequality.
