hryggcx

2022-07-03

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

Dobermann82

Expert

Step 1
Subtract $20$ from each side of the inequality to solve for c while keeping the inequality balanced:
$-20-7>-20+20+c$
$-27>0+c$
$-27>c$
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.

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