https://file.aiquickdraw.com/mathbot/file/1730296334313jpintyf3.jpg

To solve the inequality:

\[
-7h - 7 < 7h - 6
\]

we'll follow these steps:

### Step 1: Move all terms involving \( h \) to one side.
Add \( 7h \) to both sides:
\[
-7h + 7h - 7 < 7h + 7h - 6
\]
which simplifies to:
\[
-7 < 14h - 6
\]

### Step 2: Move the constant term to the other side.
Add \( 6 \) to both sides:
\[
-7 + 6 < 14h
\]
which simplifies to:
\[
-1 < 14h
\]

### Step 3: Isolate \( h \).
Divide both sides by \( 14 \):
\[
\frac{-1}{14} < h
\]
or equivalently:
\[
h > -\frac{1}{14}
\]

### Final Answer:
The solution is:
\[
h > -\frac{1}{14}
\]

Let me know if you want more details or have any questions!

Here are 5 related questions for further practice:
1. Solve \( 3x + 5 < 2x + 8 \) for \( x \).
2. How would the solution change if the inequality was \( -7h - 7 > 7h - 6 \)?
3. Solve \( 5 - 2y \leq 3y + 1 \) for \( y \).
4. What are the rules for flipping the inequality sign in an equation?
5. Solve \( 4z - 3 > 2z + 5 \) for \( z \).

**Tip:** Always remember to flip the inequality sign when you divide or multiply by a negative number.

Solve the following inequality for h. Write your answer in simplest form. -7h - 7 < 7h - 6

This page explains how to solve the inequality -7h - 7 < 7h - 6 for h with a detailed step-by-step solution. Learn how to isolate variables, move constants, and understand the properties of inequalities, suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation