Suppose and are real numbers other than zero and that .State whether the inequality is true or false.

Question

Suppose  and  are real numbers other than zero and that  .State whether the inequality is true or false.

Quizplus · Accepted Answer

Since we are given that the product of the three numbers is not zero, we can divide both sides of the inequality by the product (which is allowed since it is not zero). Doing so, we get:
(11eb12b0_aa84_67f6_b394_25800c87d239_TB7866_11) / (11eb12b0_aa84_67f5_b394_2b6cffc8b632_TB7866_11) < (11eb12b0_aa84_67f4_b394_a5190649c9e7_TB7866_11) / (11eb12b0_aa84_67f3_b394_95684193aac9_TB7866_11)
Simplifying both sides using the given values, we get:
1.070807671 < 25.25120723
However, this is false, so the original inequality must also be false.

Suppose and Are Real Numbers Other Than Zero