https://file.aiquickdraw.com/mathbot/file/1727790419064iin8c0b4.jpg

The inequality shown in the image is:

\[
-4k < -84
\]

We need to solve for \( k \) by isolating it on one side of the inequality. Let's go through the steps:

### Step 1: Divide both sides by \(-4\)
When dividing both sides of an inequality by a negative number, we must **reverse** the inequality sign. So,

\[
k > \frac{-84}{-4}
\]

This simplifies to:

\[
k > 21
\]

Thus, the solution is \( k > 21 \). Now, you need to select values greater than 21 from the given options:

- 11 (No)
- 16 (No)
- 18 (No)
- 20 (No)
- 21 (No)
- 22 (Yes)
- 24 (Yes)
- 26 (Yes)
- 31 (Yes)

The correct answers are **22, 24, 26, 31**.

### Equivalent Inequality:
The equivalent inequality in terms of \( k \) is:
\[
k > 21
\]

Would you like further details or explanations on any of the steps?

---

Here are 5 additional questions based on this problem:
1. What happens if the inequality involves addition instead of multiplication?
2. How do you solve inequalities with variables on both sides?
3. How does reversing the inequality sign work with addition and subtraction?
4. What is the difference between strict inequalities and inclusive inequalities?
5. How do you graph the solution of an inequality on a number line?

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

Select the values that make the inequality -4k < -84 true. Then write an equivalent inequality, in terms of k. (Numbers written in order from least to greatest going across.)

Learn how to solve the inequality -4k < -84 by isolating the variable k and identifying the values that make the inequality true. This solution includes step-by-step reasoning and the important rule of flipping the inequality when dividing by a negative number. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation