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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

3 answers

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
  2. 19/3
  3. 2 square root of 11

These are the three correct answers.

try again

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
  2. 19/3
  3. 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!