How do you solve and graph #1/2x<=6#?

1 Answer
Oct 17, 2017

Answer:

See a solution process below:

Explanation:

Multiply each side of the inequality by #color(red)(2)# to solve for #x# while keeping the inequality balanced:

#color(red)(2) xx 1/2x <= color(red)(2) xx 6#

#color(red)(2)/2x <= 12#

#1x <= 12#

#x <= 12#

To graph this we will draw a vertical line at #12# 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 "greater than" clause:

graph{x<=12 [-20, 20, -10, 10]}