Question

consider the inequality
1.25x + 12.75 ≤ 16.5
correctly order the steps used to solve the inequality.
step 1:
step 2:
step 3:
a. subtract 1.25 from both sides of the inequality
b. add 12.75 to both sides of the inequality
c. subtract 12.75 from both sides of the inequality
d. multiply by 1.25 on both sides of the inequality
e. divide by 1.25 on both sides of the inequality
f. divide by 12.75 on both sides of the inequality
g. finally, reverse the inequality
h. finally do not reverse the inequality

Answer 1

To solve the inequality \(1.25x + 12.75 \leq 16.5\), we can follow these steps in the correct order:

**Step 1:** c. subtract 12.75 from both sides of the inequality
This simplifies the inequality to:
\(1.25x \leq 16.5 - 12.75\)
\(1.25x \leq 3.75\)

**Step 2:** e. divide by 1.25 on both sides of the inequality
This gives us:
\(x \leq \frac{3.75}{1.25}\)
\(x \leq 3\)

**Step 3:** h. finally do not reverse the inequality
As we divided by a positive number (1.25), the direction of the inequality remains the same.

Putting it all together, the ordered steps are:
- Step 1: c
- Step 2: e
- Step 3: h

So the correct answer is:
- Step 1: c
- Step 2: e
- Step 3: h