How do you solve and graph #4 ≥ k + 3 #?

1 Answer
Aug 14, 2017

See a solution process below:

Explanation:

Subtract #color(red)(3)# from each side of the inequality to solve for #k# while keeping the inequality balanced:

#4 - color(red)(3) >= k + 3 - color(red)(3)#

#1 >= k + 0#

#1 >= k#

To state the solution in terms of #k# we can reverse or "flip" the entire inequality:

#k <= 1#

To graph this we draw a vertical line at #1# on the chart.

Because the inequality contains an "or equal to" operator we will draw a solid line.

Because the inequality solution is "less than" we will shade to the left of the line.

graph{x<=1}