Question

what value of x makes the inequality true? choose THREE answers
(inequality)x> 28/5

answers:


sqr34

4.7

-8

19/3

5.25

2sqr11

Answer 1

To determine which values of \( x \) make the inequality \( x > \frac{28}{5} \) true, we first convert \( \frac{28}{5} \) into a decimal for easier comparison:

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

Now we can evaluate the given options:

1. \( \sqrt{34} \) (Approximately \( 5.83 \)): **True**, since \( \sqrt{34} > 5.6 \).
2. \( 4.7 \): **False**, since \( 4.7 < 5.6 \).
3. \( -8 \): **False**, since \( -8 < 5.6 \).
4. \( \frac{19}{3} \) (Approximately \( 6.33 \)): **True**, since \( \frac{19}{3} > 5.6 \).
5. \( 5.25 \): **False**, since \( 5.25 < 5.6 \).
6. \( 2\sqrt{11} \) (Approximately \( 6.63 \)): **True**, since \( 2\sqrt{11} > 5.6 \).

Thus, the values of \( x \) that make the inequality \( x > \frac{28}{5} \) true are:

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

So the three answers are \( \sqrt{34}, \frac{19}{3}, 2\sqrt{11} \).