If 3 < p < 7 and − 9 < q < − 4 , then what is the range of p - q? Options: A . &nbsp (-16, -7) B . &nbsp (16, 7) C . &nbsp (7, 16) D . &nbsp (-7, -16)

If 3<p<7 and −9<q<−4, then what is the range of p -

Question -

If $3 < p < 7$ and $- 9 < q < - 4$ , then what is the range of p - q?

Options:

A . (-16, -7)

B . (16, 7)

C . (7, 16)

D . (-7, -16)

Answer: Option C
:
C

3 < p < 7

and

- 9 < q < - 4

Multiply the second inequality with - 1. This causes the sign to flip.
So,

3 < p < 7

and

4 < - q < 9

Adding these two inequalities, we get

7 < p - q < 16

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