SOLUTION: solve and graph the solution: 2(m-3) + 7

SOLUTION: solve and graph the solution: 2(m-3) + 7 < 21

Question 93536This question is from textbook
: solve and graph the solution:
2(m-3) + 7 < 21 This question is from textbook

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

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Add 6 to both sides

Combine like terms on the right side

Divide both sides by 2 to isolate m

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Answer:
So our answer is which looks like in decimal form

Now lets graph the solution set of

Set up a number line:
note: just replace the x with the variable you are working with

Now plot the point m=13.5 on the number line

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

Plug in

Since this inequality is true, we simply shade the entire portion in which contains the point m=0 using the point m=13.5 as the boundary.This means we shade everything to the left of the point m=13.5 like this:
Graph of with the shaded region in blue

note: at the point m=13.5, there is an open circle. This means the point m=13.5 is excluded from the solution set.

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