Which of the following are solutions to the inequality below? Select all that apply.

–74 <
8
y
− 	10

Let's solve the inequality step by step.

The given inequality is:

\[
-74 < 8y - 10
\]

### Step 1: Isolate the term with \( y \)

To do that, add 10 to both sides of the inequality:

\[
-74 + 10 < 8y
\]

Simplifying the left side:

\[
-64 < 8y
\]

### Step 2: Solve for \( y \)

Now, divide both sides of the inequality by 8 to isolate \( y \):

\[
\frac{-64}{8} < y
\]

Simplifying:

\[
-8 < y
\]

This means the solution is:

\[
y > -8
\]

### Conclusion:

Any value of \( y \) greater than \(-8\) will satisfy the inequality. To determine which specific values are solutions, you can check if the given values of \( y \) are greater than \(-8\). If you provide the options, I can verify them.

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Do you have any follow-up questions or want further details?

Here are five related questions to consider:

1. How do you solve inequalities involving fractions?
2. What happens if the inequality sign is flipped?
3. How can you graph the solution to an inequality?
4. What is the difference between strict inequalities and non-strict inequalities?
5. How do inequalities change when multiplying or dividing by a negative number?

**Tip**: Always reverse the inequality sign when multiplying or dividing both sides by a negative number!

Which of the following are solutions to the inequality below? Select all that apply. –74 < 8y − 10

Learn how to solve the linear inequality –74 < 8y − 10 with a detailed step-by-step solution. This problem covers key algebra concepts, including isolating variables, solving linear inequalities, and applying division rules for inequalities. Suitable for students in Grades 6-8.

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