Question

Identify the solutions for
V - 7 is less than 21
5v is greater than 55
Options:
16
Two of these
7
20

Answer 1

To solve the inequalities step by step:

1. **For the first inequality**:
\[
V - 7 < 21
\]
Add 7 to both sides:
\[
V < 21 + 7
\]
\[
V < 28
\]

2. **For the second inequality**:
\[
5v > 55
\]
Divide both sides by 5:
\[
v > \frac{55}{5}
\]
\[
v > 11
\]

Now we have two inequalities:
- \( v < 28 \)
- \( v > 11 \)

Combining these inequalities, we find:
\[
11 < V < 28
\]

Now let's check the options provided:
- 16: **Valid** (it lies between 11 and 28)
- 7: **Invalid** (it is not greater than 11)
- 20: **Valid** (it lies between 11 and 28)
- Two of these: **Valid** (16 and 20 are valid solutions)

**Conclusion**: The valid solutions from the options given are both 16 and 20. Thus, the correct choice is **"Two of these."**