How do you solve and graph #9.1g+4.5<10.1g#?

Question

1618 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-09-29T17:07:43

See a solution process below:

Subtract #color(red)(9.1g)# from each side of the inequality to solve for #g# while keeping the inequality balanced:

#-color(red)(9.1g) + 9.1g + 4.5 < -color(red)(9.1g) + 10.1g#

#0 + 4.5 < (-color(red)(9.1) + 10.1)g#

#4.5 < 1g#

#4.5 < g#

We can reverse or "flip" the entire inequality to state the solution in terms of #g#:

#g > 4.5#

To graph this we will draw a vertical line at #4.5# on the horizontal axis.

The line will be a dashed line because the inequality operator does not contain an "or equal to" clause.

We will shade to the right side of the line because the inequality operator does contain a "greater than" clause:

graph{x>=4.5 [-10, 10, -5, 5]}