which of the following values will make the inequality (x > 28/5 (fraction)) true?

Question

square root of 34

4.7

-8

19/3 (fraction)

5.25

2 (square root of 11)

Answer 1

To determine which of the given values make the inequality \( x > \frac{28}{5} \) true, we first calculate the value of \( \frac{28}{5} \):

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

Now we need to compare each of the given values to \( 5.6 \):

1. Square root of 34: \[ \sqrt{34} \approx 5.83 \quad (\text{greater than } 5.6) \]

2. 4.7: \[ 4.7 < 5.6 \quad (\text{not greater}) \]

3. -8: \[ -8 < 5.6 \quad (\text{not greater}) \]

4. \(\frac{19}{3}\): \[ \frac{19}{3} \approx 6.33 \quad (\text{greater than } 5.6) \]

5. 5.25: \[ 5.25 < 5.6 \quad (\text{not greater}) \]

6. 2 (square root of 11): \[ 2\sqrt{11} \approx 6.64 \quad (\text{greater than } 5.6) \]

Now, summarizing which values are greater than \( 5.6 \):

• Square root of 34
• \(\frac{19}{3}\)
• \(2 \sqrt{11}\)

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

• Square root of 34
• \(\frac{19}{3}\)
• \(2 \sqrt{11}\)