Answers:
- 6) B. Negative
- 7) A. Positive
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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".
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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.
