Question: Select the values that make the inequality $3v \geq 75$ true. Then write an equivalent inequality, in terms of $v$. (Numbers written in order from least to greatest going across.) Answer Attempt 1 out of 2
15\ 20\ 22
24\ 25\ 26
28\ 30\ 35
Equivalent Inequality: v
1. **State the problem:** We need to find the values of $v$ that satisfy the inequality $$3v \geq 75$$ and then write an equivalent inequality in terms of $v$.
2. **Write the inequality:** $$3v \geq 75$$
3. **Isolate $v$ by dividing both sides by 3:**
$$\frac{\cancel{3}v}{\cancel{3}} \geq \frac{75}{3}$$
4. **Simplify the right side:**
$$v \geq 25$$
5. **Interpretation:** The equivalent inequality is $$v \geq 25$$.
6. **Select values from the list that satisfy $v \geq 25$:**
Given values: 15, 20, 22, 24, 25, 26, 28, 30, 35
Values that satisfy $v \geq 25$ are: 25, 26, 28, 30, 35
**Final answer:**
Equivalent inequality: $$v \geq 25$$
Values that make the inequality true: 25, 26, 28, 30, 35