How do you solve and graph #a/9>=-15#?

1 Answer
smendyka
Aug 15, 2017

See a solution process below:

Explanation:

Multiply each side of the equation by #color(red)(9)# to solve for #a# while keeping the equation balanced:

#color(red)(9) xx a/9 >= color(red)(9) xx -15#

#cancel(color(red)(9)) xx a/color(red)(cancel(color(black)(9))) >= -135#

#a >= -135#

To graph this we draw a vertical line at #-135# on the horizontal axis. We will draw a solid line because the inequality operator has a "or equal to" term in it. We will shade to the right of the line because the inequality operator is a "greater than" term in it.

graph{x >= -135 [-150, 150, -75, 75]}

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