How do you solve and graph the solution of #p-6>=3#?

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Answer 1 · 2017-09-06T12:30:54

See a solution process below:

Add #color(red)(6)# to each side of the inequality to solve for #p# while keeping the inequality balanced:

#p - 6 + color(red)(6) >= 3 + color(red)(6)#

#p - 0 >= 9#

#p >= 9#

To graph this we will draw a vertical line at #9# 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>=9 [-20, 20, -10, 10]}