Which sign makes the statement true? -π/2 ? -√8

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!