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- A- -0-5 - w - 2B- -4 - w - 4C- -4 - w - 2D- -2 - w -0-5

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Solving Inequalities

Given that -1...

Question

Given that $- 1 \leq v \leq 1, - 2 \leq u \leq - 0.5 a n d - 2 \leq z \leq - 0.5$ and $w = \frac{v z}{u}$ , then which of the following is necessarily true?

- 0.5 \leq w \leq 2

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- 4 \leq w \leq 4

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- 4 \leq w \leq 2

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- 2 \leq w - \leq - 0.5

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Solution

The correct option is B $- 4 \leq w \leq 4$
Substitute the extreme values in the given equation:
v = 1, u = - 0.5, z = - 2.
Then $w = \frac{v z}{u} = 4$ .
Only option (b) gives this.

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Given that −1≤v≤1,−2≤u≤−0.5 and−2≤z≤−0.5 and w=vzu, then which of the following is necessarily true?

The correct option is B −4≤w≤4Substitute the extreme values in the given equation: v = 1, u = - 0.5, z = - 2. Then w=vzu=4. Only option (b) gives this.

Given that $- 1 \leq v \leq 1, - 2 \leq u \leq - 0.5 a n d - 2 \leq z \leq - 0.5$ and $w = \frac{v z}{u}$ , then which of the following is necessarily true?

The correct option is B $- 4 \leq w \leq 4$
Substitute the extreme values in the given equation:
v = 1, u = - 0.5, z = - 2.
Then $w = \frac{v z}{u} = 4$ .
Only option (b) gives this.