Which inequalities are true? Select the three correct answers. NOTE: There is a check answer button in the bottom right corner. Click this to check your answer before moving on to the next question. It will not tell you the correct answer, but it will tell you if the answer you selected is correct. You can use this feature once per question.(3 points)Responses0<8–√0<8–√8–√<28–√<28–√>8square root of 8 is greater than 88–√<38–√<38–√>7–√

Answer 1

To determine the truth of the inequalities given, we can evaluate the square root of 8 and compare it with the numbers stated.

1. √8 is approximately 2.828.

Now let's evaluate each inequality:

1. 0 < √8: True, because √8 ≈ 2.828 is greater than 0.
2. √8 < 2: False, because √8 ≈ 2.828 is greater than 2.
3. √8 < 2: False (same as above).
4. √8 > 8: False, as √8 ≈ 2.828 is less than 8.
5. √8 < 3: True, because √8 ≈ 2.828 is less than 3.
6. √8 < 3: True (same as above).
7. √8 > 7: False, as √8 ≈ 2.828 is less than 7.

Based on this analysis, the three correct statements are:

1. 0 < √8
2. √8 < 3
3. √8 < 3 (counting the repetition, if only one instance is allowed, then just choose the first two unique true inequalities).

So, the correct inequalities are:

• 0 < √8
• √8 < 3