Answer :
To solve the inequality [tex]\(3x \leq 7.5\)[/tex], follow these steps:
1. Isolate [tex]\(x\)[/tex]: To find the value of [tex]\(x\)[/tex], we need to get it by itself on one side of the inequality. Since [tex]\(3x\)[/tex] means 3 times [tex]\(x\)[/tex], you can isolate [tex]\(x\)[/tex] by dividing both sides of the inequality by 3.
2. Divide both sides by 3:
[tex]\[
\frac{3x}{3} \leq \frac{7.5}{3}
\][/tex]
3. Simplify the inequality:
[tex]\[
x \leq 2.5
\][/tex]
This means that the values for [tex]\(x\)[/tex] that satisfy the inequality are all numbers less than or equal to 2.5. The solution to the inequality is [tex]\(x \leq 2.5\)[/tex].
1. Isolate [tex]\(x\)[/tex]: To find the value of [tex]\(x\)[/tex], we need to get it by itself on one side of the inequality. Since [tex]\(3x\)[/tex] means 3 times [tex]\(x\)[/tex], you can isolate [tex]\(x\)[/tex] by dividing both sides of the inequality by 3.
2. Divide both sides by 3:
[tex]\[
\frac{3x}{3} \leq \frac{7.5}{3}
\][/tex]
3. Simplify the inequality:
[tex]\[
x \leq 2.5
\][/tex]
This means that the values for [tex]\(x\)[/tex] that satisfy the inequality are all numbers less than or equal to 2.5. The solution to the inequality is [tex]\(x \leq 2.5\)[/tex].