How do you solve and graph #-8 ≥ x - 15#?

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Answer 1 · 2017-10-20T21:50:09

See a solution process below:

Add color(red)(15) to each side of the inequality to solve for #x# while keeping the inequality balanced:

#-8 + color(red)(15) >= x - 15 + color(red)(15)#

#7 >= x - 0#

#7 >= x#

#x <= 7#

To graph this we will draw a vertical line at #7# 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 left side of the line because the inequality operator also contains a "less than" clause:

graph{x <= 7 [-10, 10, -5, 5]}