To evaluate the inequalities involving square roots of numbers, let's analyze each one:
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0 < v4:
- The square root of 4 is 2. Therefore, 0 < 2 is true.
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v8 < 5:
- The square root of 8 is approximately 2.83. Thus, 2.83 < 5 is true.
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v8 > 3:
- Given that v8 is approximately 2.83, the statement 2.83 > 3 is false.
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v8 > v6:
- The square root of 8 (approximately 2.83) and the square root of 6 (approximately 2.45). Therefore, v8 > v6 is true since 2.83 > 2.45.
-
v6 < 2:
- Since v6 is approximately 2.45, the statement 2.45 < 2 is false.
Based on our analysis, the correct inequalities that are true are:
- 0 < v4
- v8 < 5
- v8 > v6
So the three correct answers are:
- 0 < v4
- v8 < 5
- v8 > v6