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

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Answer 1 · 2018-01-22T02:25:16

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

Using Interval Notation

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

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