How do you solve and graph #x + 11 > 16 #?

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Answer 1 · 2017-10-15T23:36:50

See a solution process below:

Subtract #color(red)(11)# from each side of the inequality to solve for #x# while keeping the inequality balanced:

#x + 11 - color(red)(11) > 16 - color(red)(11)#

#x + 0 > 5#

#x > 5#

To graph this we will draw a vertical line at #5# on the horizontal axis.

The line will be a dashed line because the inequality operator does not contain an "or equal to" clause.

We will shade to the right side of the line because the inequality operator does contain a "greater than" clause:

graph{x> 5 [-10, 10, -5, 5]}