How do you solve and graph #-7>20+c#?

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Answer 1 · 2017-11-14T18:06:16

See a solution process below:

Subtract #color(red)(20)# from each side of the inequality to solve for #c# while keeping the inequality balanced:

#-color(red)(20) - 7 > -color(red)(20) + 20 + c#

#-27 > 0 + c#

#-27 > c#

We can reverse or "flip" the entire inequality to state the solution in terms of #c#:

#c < -27#

To graph this we will draw a vertical line at #-27# 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 left side of the line because the inequality operator does contains a "less than" clause:

graph{x < 27 [-40, 40, -20, 20]}