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Answer :
To solve the inequality [tex]\(3x \leq 7.5\)[/tex], we need to find the value of [tex]\(x\)[/tex] that satisfies this condition.
### Step-by-step Solution:
1. Set up the inequality:
[tex]\[
3x \leq 7.5
\][/tex]
2. Isolate [tex]\(x\)[/tex]:
- To solve for [tex]\(x\)[/tex], we need to isolate it on one side of the inequality. We can do this by dividing both sides of the inequality by 3. This step keeps the inequality balanced, as we do the same operation on both sides.
[tex]\[
x \leq \frac{7.5}{3}
\][/tex]
3. Calculate the division:
- Perform the division on the right side:
[tex]\[
\frac{7.5}{3} = 2.5
\][/tex]
4. Write the final answer:
- Now, we have the solution to the inequality:
[tex]\[
x \leq 2.5
\][/tex]
Therefore, the solution to the inequality [tex]\(3x \leq 7.5\)[/tex] is [tex]\(x \leq 2.5\)[/tex].
### Step-by-step Solution:
1. Set up the inequality:
[tex]\[
3x \leq 7.5
\][/tex]
2. Isolate [tex]\(x\)[/tex]:
- To solve for [tex]\(x\)[/tex], we need to isolate it on one side of the inequality. We can do this by dividing both sides of the inequality by 3. This step keeps the inequality balanced, as we do the same operation on both sides.
[tex]\[
x \leq \frac{7.5}{3}
\][/tex]
3. Calculate the division:
- Perform the division on the right side:
[tex]\[
\frac{7.5}{3} = 2.5
\][/tex]
4. Write the final answer:
- Now, we have the solution to the inequality:
[tex]\[
x \leq 2.5
\][/tex]
Therefore, the solution to the inequality [tex]\(3x \leq 7.5\)[/tex] is [tex]\(x \leq 2.5\)[/tex].
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