First of all, please read carefully and follow: rules-for-posting-please-read-this-before-posting-133935.html Pay attention to the rules #2, 3, 5, and 10. Thank you.For the numbers on the number line above, which of the following statements is true?Analyze each option:

A. x + y > y --> x > 0. Not true as per diagram x < 0.

B. xz > xy --> reduce by negative x and flip sign: z < y. Not true.

C. tz < z --> reduce by positive z: t < 1. Not true.

D. m^u < 0 --> m^u = (-1)^2 = 1 > 0. Hence, this statement is also not true.

E. t^m > 0. By POE this must be true. To elaborate: t^m = (positive)^(negative) = positive.

Answer: E.

Hope its clear.

At first didn't get why B was not correct but when i took another look at what the Diagram is giving us, then it is clear why we divide by -x