Given that -1 ≤ v ≤1, -2 ≤ u ≤ -0.5 and -2 ≤ z ≤ -0.5 and w = vz/u, then which of the following is necessarily true ?  Choose the correct choice from the following answers: A) -0.5 ≤ w ≤ 2 B) -4 ≤ w ≤ 4 C) -4 ≤ w ≤ 2 D) -2 ≤ w ≤ 0.5 E) None of these
Explanation :   We try to get an upper bound on the value of w.   After taking a look at the options we figure it out that if we take v=-1,z=-2 and u=-0.5.   we get the lower bound as -4.   If we take v=1, z=-2 and u=-0.5 we have the upper bound as 4.   Hence, the right option is 2.ie -4 ≤ w ≤ 4   Answer : -4 ≤ w ≤ 4
<result>B</result>
Given that -1 ≤ v ≤1, -2 ≤ u ≤ -0.5 and -2 ≤ z ≤ -0.5 and w = vz/u, then which of the following is necessarily true ?