Solve the inequality negative 2 x minus 4 less than 10.

The given inequality is:

\[
-2x - 4 < 10
\]

### Step-by-step solution:

1. **Add 4 to both sides** to get rid of the constant term on the left-hand side:

\[
-2x - 4 + 4 < 10 + 4
\]
\[
-2x < 14
\]

2. **Divide both sides by -2** to solve for \(x\). Since we are dividing by a negative number, we must **reverse the inequality sign**:

\[
x > \frac{14}{-2}
\]
\[
x > -7
\]

### Final answer:
The solution to the inequality is:

\[
x > -7
\]

Would you like more details or further explanations?

Here are some related questions to consider:
1. How do you graph the solution \(x > -7\) on a number line?
2. What happens to inequalities when multiplying or dividing by a negative number?
3. How would the solution change if the inequality was \( \geq \) instead of \( < \)?
4. How would you solve the inequality if there was an additional variable term on the right-hand side?
5. How does solving inequalities differ from solving equalities?

**Tip:** When multiplying or dividing both sides of an inequality by a negative number, always remember to flip the inequality sign.

Learn how to solve the inequality -2x - 4 < 10 with a clear step-by-step solution. This problem covers key algebraic concepts, including manipulating inequalities and reversing the inequality sign when dividing by a negative number. Suitable for students in Grades 7-9.

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