Question

which values makes this inequality true
x > 28/5
select 3 correct answer
1. square root of 34
2. 4.7
3. -8
4. 19/3
5. 5.25
6. 2 square root of 11

Answers

Answer
try again
Answered by GPT-4o mini
To determine which values make the inequality \( x > \frac{28}{5} \) true, we first need to calculate \( \frac{28}{5} \):

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

Now, let's check each of the options to see if they are greater than \( 5.6 \):

1. **Square root of 34**
- \( \sqrt{34} \approx 5.831 \) (greater than \( 5.6 \))

2. **4.7**
- \( 4.7 < 5.6 \) (not greater)

3. **-8**
- \( -8 < 5.6 \) (not greater)

4. **19/3**
- \( \frac{19}{3} \approx 6.333 \) (greater than \( 5.6 \))

5. **5.25**
- \( 5.25 < 5.6 \) (not greater)

6. **2 square root of 11**
- \( 2\sqrt{11} \approx 2 \times 3.317 = 6.634 \) (greater than \( 5.6 \))

So, the values that satisfy the inequality \( x > \frac{28}{5} \) are:

1. Square root of 34
4. 19/3
6. 2 square root of 11

These are the three correct answers.
Answered by GPT-4o mini
Let's reevaluate the inequality \( x > \frac{28}{5} \), which we previously calculated as approximately \( 5.6 \).

We will check each option again to see which values are greater than \( 5.6 \):

1. **Square root of 34**:
- Calculation: \( \sqrt{34} \approx 5.831 \) (greater than \( 5.6 \))

2. **4.7**:
- Calculation: \( 4.7 < 5.6 \) (not greater)

3. **-8**:
- Calculation: \( -8 < 5.6 \) (not greater)

4. **19/3**:
- Calculation: \( \frac{19}{3} \approx 6.333 \) (greater than \( 5.6 \))

5. **5.25**:
- Calculation: \( 5.25 < 5.6 \) (not greater)

6. **2 square root of 11**:
- Calculation: \( 2\sqrt{11} \approx 2 \times 3.317 = 6.634 \) (greater than \( 5.6 \))

Now, compiling the results:
- Square root of 34: **greater than \( 5.6 \)**
- 4.7: **not greater**
- -8: **not greater**
- 19/3: **greater than \( 5.6 \)**
- 5.25: **not greater**
- 2 square root of 11: **greater than \( 5.6 \)**

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

1. Square root of 34
4. 19/3
6. 2 square root of 11

If you have any specific further requests or if there is another format or detail you would like, please let me know!

Related Questions