How do you solve and graph #8<=r-14#?

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Answer 1 · 2017-11-23T13:19:57

See a solution process below:

Add #color(red)(14)# to each side of the inequality to solve for #r# while keeping the inequality balanced:

#8 + color(red)(14) <= r - 14 + color(red)(14)#

#22 <= r - 0#

#22 <= r#

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

#r >= 22#

To graph this we will draw a vertical line at #22# on the horizontal axis.

The line will be a solid line because the inequality operator contains an "or equal to" clause.

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

graph{x>=22 [-50, 50, -25, 25]}