SOLUTION: Solve the inequality and graph the solution. y

SOLUTION: Solve the inequality and graph the solution. y - 3 > or equal to 5

Question 117754: Solve the inequality and graph the solution.
y - 3 > or equal to 5
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given inequality

Add 3 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:
note: just replace the x with the variable you are working with

Now plot the point on the number line

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

Plug in

Since this inequality is not true, we simply shade the entire portion that does not contain the point y=0 using the point as the boundary. This means we shade everything to the right of the point like this:
Graph of with the shaded region in blue
note: at the point , there is an closed circle. This means the point is included from the solution set.

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