How do you solve and graph #3n ≤ 9#?

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Answer 1 · 2017-10-15T11:13:12

See a solution process below:

Divide each side of the inequality by #color(red)(3)# to solve for #n# while keeping the inequality balanced:

#(3n)/color(red)(3) <= 9/color(red)(3)#

#(color(red)(cancel(color(black)(3)))n)/cancel(color(red)(3)) <= 3#

#n <= 3#

To graph this we will draw a vertical line at #3# 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<= 3 [-10, 10, -5, 5]}