To solve the inequality \(-18x + 21 > -15\), follow these steps:

### Step 1: Isolate the term involving \( x \)
Subtract 21 from both sides of the inequality:
\[
-18x + 21 - 21 > -15 - 21
\]
This simplifies to:
\[
-18x > -36
\]

### Step 2: Solve for \( x \)
Divide both sides by \(-18\). Remember that dividing by a negative number reverses the inequality sign:
\[
x < \frac{-36}{-18}
\]
Simplifying the right-hand side:
\[
x < 2
\]

### Final Solution:
The solution to the inequality is:
\[
x < 2
\]

Would you like more details or have any questions?

### Related Questions
1. How do you solve a similar inequality with different coefficients?
2. What happens if you forget to reverse the inequality sign when dividing by a negative number?
3. Can this inequality be represented graphically on a number line?
4. How do you solve the inequality if both sides were fractions?
5. What if you had to solve \(-18x + 21 \geq -15\)?
6. How do you check if a particular value of \( x \) satisfies the inequality?
7. How does the solution change if there is a different sign on the coefficient of \( x \)?
8. What is the significance of isolating the variable on one side of the inequality?

### Tip:
When solving inequalities, always pay attention to the direction of the inequality sign, especially when multiplying or dividing by negative numbers.

Learn how to solve the inequality -18x + 21 > -15 step-by-step. This problem involves isolating the variable x, dividing by negative numbers, and reversing the inequality sign. Suitable for Grades 7-9 students learning about inequalities in algebra.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation