SOLUTION: solve the inequality. then graph the solution. 3x+3

SOLUTION: solve the inequality. then graph the solution. 3x+3 < x+5

Question 118125: solve the inequality. then graph the solution.
3x+3 < x+5
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given inequality

Subtract 3 from both sides

Subtract x from both sides

Combine like terms on the left side

Combine like terms on the right side

Divide both sides by 2 to isolate x

Divide

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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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