If x<0 and y>0, determine the sign of the real number.

Answers:

Explanation:

x < 0 means x is negative

y > 0 tells us y is positive

Dividing a positive by a negative, or vice versa, means the result is negative. It's similar to how positive times negative = negative. So that is why the answer to problem 6 is "negative".

In problem 7, we square x to get some positive result.

Consider something like x = -7. Squaring this leads to

x^2 = (-7)^2 = (-7)*(-7) = 49

The two negatives cancel out when we square.

Since x^2 is positive, and y is positive, this means x^2*y is positive as well.

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