17.56+5x<30.16
A.x<6032

B.x>6.032

C.x>2.52

D.x<2.52


To solve the inequality \(17.56 + 5x < 30.16\), follow these steps:

1. **Isolate the term with \(x\):**

   Subtract \(17.56\) from both sides of the inequality:
   \[
   5x < 30.16 - 17.56
   \]

2. **Simplify the right side:**

   Calculate the difference:
   \[
   5x < 12.6
   \]

3. **Solve for \(x\):**

   Divide both sides by \(5\) to isolate \(x\):
   \[
   x < \frac{12.6}{5} = 2.52
   \]

The solution is \(x < 2.52\).

### Answer:
**D. \(x < 2.52\)**

Would you like further details or have any questions?

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Here are 5 related questions:

1. How do you solve inequalities involving fractions?
2. What happens if the inequality sign is reversed?
3. Can inequalities be solved using the same steps as equations?
4. How do you represent the solution to an inequality on a number line?
5. What are the rules for multiplying or dividing both sides of an inequality by a negative number?

**Tip:** Always remember to flip the inequality sign when multiplying or dividing by a negative number.

Learn how to solve the linear inequality 17.56 + 5x < 30.16 with a step-by-step guide. This problem covers key algebraic concepts, including isolating variables and dividing inequalities. Suitable for students in Grades 6-8.

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