Question

Compare: What inequality can be correctly placed in the blank to make this expression TRUE?(-3)2_-23

Answer 1

The expression compares (-3)^2 to -23; since (-3)^2 equals +9 and 9 is greater than -23, the inequality symbol that makes the expression TRUE is '>'.

Step-by-step explanation:

To determine the inequality that can be placed in the blank to make the expression TRUE, we have to evaluate (-3)2 and then compare the result to -23.

The expression (-3)2 means that we are squaring -3.

When two negative numbers multiply, the answer has a +ve sign.

Therefore, (-3) x (-3) equals +9.

Now we compare 9 and -23. Since 9 is greater than -23, the inequality symbol that makes the expression true is '>'.

So the inequality that would make the expression TRUE is: (-3)2 > -23.