How do you write the following in interval notation: #x>2# OR #5>x#?

1 Answer
Jan 22, 2018

Answer:

#color(blue)(AA x in RR)#

Using Interval Notation

#color(blue)[(-oo, +oo)#

Explanation:

Given the inequality:

#color(red)(x>2 or 5 > x)#

Write #color(green)(5>x# as #color(green)(x < 5# after switching sides

So we get,

#color(red)(x>2 or x < 5)#

This is #True#

If we combine both the results, we get

#color(blue)(AA x in RR)#

Using Interval Notation we can write

#color(blue)[(-oo, +oo)#

Analyze the graph below to view the behavior of the inequality:

enter image source here