Instructions

In each of the questions, a question is followed by two statements I and II. Give your answer

Question 157

What is the range of y?
I. $$13 \leq x + y \leq 19$$
II. $$4 \geq x - y \geq -5$$

Solution

$$13\le\ x+y\le\ 19$$ and $$-5\le\ x-y\le4$$

So, $$13+5\le\left(x+y\right)-\left(\ x-y\right)\le19-4.$$

or,$$9\ge\ y\ge\ 7.5.$$

So, both the equation needed.

C is correct choice.

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What is the range of y?I. $$13 \leq x + y \leq 19$$II. $$4 \geq x - y \geq -5$$