How do you solve and graph #x/4<9#?

1 Answer
Aug 17, 2017

Answer:

See a solution process below:

Explanation:

Multiply each side of the inequality by #color(red)(4)# to solve for #x# while keeping the inequality balanced:

#color(red)(4) xx x/4 < color(red)(4) xx 9#

#cancel(color(red)(4)) xx x/color(red)(cancel(color(black)(4))) < 36#

#x < 36#

To solve this we draw a vertical line at #36# on the #x# axis.

The line will be dashed because the inequality is just "less than" and does not contain an "or equal to" clause. Therefore the solution does not contain the point #36#.

We will shade to the left of the line because this is a "less than" inequality:

graph{x < 36 [-10, 40, -12.5, 12.5]}