Question

which values of x make the inequality true
x > 28/5
sellect 3 correct answers
√34
4.7
-8
19/3
5.25
2 √11

Answer 1

To determine which values of \( x \) satisfy the inequality \( x > \frac{28}{5} \), we first calculate \( \frac{28}{5} \).

\[
\frac{28}{5} = 5.6
\]

Now we need to see which of the provided values are greater than \( 5.6 \):

1. **\( \sqrt{34} \)**:
\[
\sqrt{34} \approx 5.83 \quad (\text{since } 5.83^2 \approx 34)
\]
So, \( \sqrt{34} > 5.6 \).

2. **\( 4.7 \)**:
\[
4.7 < 5.6
\]
So, \( 4.7 \) does not satisfy the inequality.

3. **\( -8 \)**:
\[
-8 < 5.6
\]
So, \( -8 \) does not satisfy the inequality.

4. **\( \frac{19}{3} \)**:
\[
\frac{19}{3} \approx 6.33 \quad (\text{since } 6.33 > 5.6)
\]
So, \( \frac{19}{3} > 5.6 \).

5. **\( 5.25 \)**:
\[
5.25 < 5.6
\]
So, \( 5.25 \) does not satisfy the inequality.

6. **\( 2\sqrt{11} \)**:
\[
2\sqrt{11} \approx 2 \times 3.317 = 6.634 \quad (\text{since } 3.317 > 3.316)
\]
So, \( 2\sqrt{11} > 5.6 \).

Based on this analysis, the values that satisfy \( x > 5.6 \) are:

- \( \sqrt{34} \)
- \( \frac{19}{3} \)
- \( 2\sqrt{11} \)

Thus, the three correct answers are:
- \( \sqrt{34} \)
- \( \frac{19}{3} \)
- \( 2\sqrt{11} \)