Which sign makes the statement true?
-π/2 ? -√8
>
<
Which sign makes the statement true? -π/2 ? -√8
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To determine which sign makes the statement (-frac{pi}{2} ? -sqrt{8}) true, we need to compare the two values.
1. Value of (-frac{pi}{2}):
– The approximate value of (pi) is about 3.14, so (-frac{pi}{2}) is approximately (-1.57).
2. Value of (-sqrt{8}):
– (sqrt{8} = 2sqrt{2}), which is about 2.83. Therefore, (-sqrt{8}) is approximately (-2.83).
Now, we can compare these two values:
– (-frac{pi}{2} approx -1.57)
– (-sqrt{8} approx -2.83)
Since (-1.57) is greater than (-2.83), the correct sign to make the statement true is:
(-frac{pi}{2} > -sqrt{8}).
Thus, the correct answer is “>”.
I hope this helps! If you have any more questions, feel free to ask!