How do you solve the inequality #7+14x<21# or #8x>12#?

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Answer 1 · 2017-11-20T22:00:54

#x<1# or #x>3/2#

We will start by solving the first inequality, then the second, and comparing our answers to get a range for x.

#7+14x<21#
#1+2x<3#
#2x<2#
#x<1#

And the second:

#8x>12#
#x>12/8#
#x>3/2#

Comparing these:

#x<1# or #x>3/2#

See below the inequalities on a graph:
enter image source here
The shaded part is the part of the graph which satisfies x.