SOLUTION: Solve the inequality and graph the solution x

SOLUTION: Solve the inequality and graph the solution x - 5 < 3

Question 117755: Solve the inequality and graph the solution
x - 5 < 3
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given inequality

Add 5 to both sides

Combine like terms on the right side

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Answer:
So our answer is

Now let's graph the solution set
Start with the given inequality:

Set up a number line:

Now plot the point on the number line

Now pick any test point you want, I'm going to choose x=0, and test the inequality

Plug in

Since this inequality is true, we simply shade the entire portion in which contains the point x=0 using the point as the boundary.This means we shade everything to the left of the point like this:
Graph of with the shaded region in blue

note: at the point , there is an open circle. This means the point is excluded from the solution set.

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