If − 5 < p < − 2 and 7 < q < 9 , then what is the range of p + q? Options: A . &nbsp (-2, -7) B . &nbsp (2, 7) C . &nbsp (7, 2) D . &nbsp (-7, -2)

If −5<p<−2 and 7<q<9, then what is the range of p +

Discussion Forum : Inequalities Modulus And Logarithms

Question -

If $- 5 < p < - 2$ and $7 < q < 9$ , then what is the range of p + q?

Options:

A . (-2, -7)

B . (2, 7)

C . (7, 2)

D . (-7, -2)

Answer: Option B
:
B

$- 5 < p < - 2$ and $7 < q < 9$
Adding two inequalities with same natured inequalities will preserve the sign.
So adding the two inequalities:
$- 5 + 7 < p + q < - 2 + 9$
$\Rightarrow 2 < p + q < 7$

Was this answer helpful ?

Next Question

Discussion Forum : Inequalities Modulus And Logarithms

Submit Your Solution hear: