Question

1. -6n - 5 < 7
2. 9 + 3x > -6
3. 5x - 7 < -32
4. 18 + 2x < 12
5. -8 - 2x < -10
6. 3 - 7x > -39
7. -7x - 3 < 25
8. 8 - (5h - 3) > -3h - 5

Explanation:

Let's solve problem 19: \(-7x - 3 < 25\)

Step 1: Add 3 to both sides

To isolate the term with \(x\), we add 3 to both sides of the inequality.
\(-7x - 3 + 3 < 25 + 3\)
Simplifying, we get:
\(-7x < 28\)

Step 2: Divide by -7 (and reverse inequality)

When dividing an inequality by a negative number, we reverse the inequality sign. So we divide both sides by \(-7\).
\(\frac{-7x}{-7} > \frac{28}{-7}\)
Simplifying, we get:
\(x > -4\)

Answer:

\(x > -4\)