How do you solve and graph the solution of #-7>=2+x#?

1 Answer
Lil Del
Nov 5, 2016

The solution of the inequality is #-9 >= x#.

Explanation:

Solve the inequality by using inverse operations to isolate #x#.

#-7 >= 2 + x#
#-7 - 2 >= 2 - 2 + x#
#-9 >= x#

If this is part of an assignment covering Linear Inequalities in One Variable, it will be graphed on a number line. There will be a closed dot at #-9#, and the number line would be shaded to the left of #-9#. However if this is part of an assignment covering Linear Inequalities in Two Variables, it is graphed on a coordinate plane as shown below.
graph{-9 >= x [-10, 10, -5, 5]}

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