1. **Problem Statement:** Solve the inequality $10 > 3.5$ and the equations:
1) $\frac{x}{5} = 0$
2) $\frac{x + 1}{5} = \frac{4}{5}$
3) $\frac{x - 1}{5} = -\frac{3}{5}$
2. **Formulas and Rules:**
- To solve $\frac{x}{5} = 0$, multiply both sides by 5.
- To solve $\frac{x + 1}{5} = \frac{4}{5}$, multiply both sides by 5 to clear the denominator.
- To solve $\frac{x - 1}{5} = -\frac{3}{5}$, multiply both sides by 5.
3. **Step-by-step Solutions:**
1) $10 > 3.5$ is true since 10 is greater than 3.5.
2) Solve $\frac{x}{5} = 0$:
Multiply both sides by 5:
$$x = 0 \times 5 = 0$$
3) Solve $\frac{x + 1}{5} = \frac{4}{5}$:
Multiply both sides by 5:
$$x + 1 = 4$$
Subtract 1 from both sides:
$$x = 4 - 1 = 3$$
4) Solve $\frac{x - 1}{5} = -\frac{3}{5}$:
Multiply both sides by 5:
$$x - 1 = -3$$
Add 1 to both sides:
$$x = -3 + 1 = -2$$
4. **Final Answers:**
- For $\frac{x}{5} = 0$, $x = 0$
- For $\frac{x + 1}{5} = \frac{4}{5}$, $x = 3$
- For $\frac{x - 1}{5} = -\frac{3}{5}$, $x = -2$
Solve Fractions Ea3246
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