Question

Solve the following compound inequality and express the answer in interval notation.
4x < 40 and -4x < -16

Answer 1

4x < 40 ===> x<10
-4x < -16 ===> x>4
===> solution interval = (4.10)

Answer 2

4x < 40 and -4x < -16


x < 40/4 and x > -16/(-4)


x < 10 and x > 4


x > 4 and x < 10


4 < x and x < 10


4 < x < 10

Answer 3

The answer in interval notation is \[\large \left(4,10\right)\]