SOLUTION: Solve and graph 4x-11<3x+2

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Question 200655: Solve and graph
4x-11<3x+2
Found 2 solutions by rfer, MathTherapy:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
answer is 41 is less than 41
can't happen that way 41=41

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
4x - 11 < 3x + 2
x < 13

Checking:
Let x = 12 (less than 13), then 4x – 11 < 3x + 2 becomes
4(12) – 11 < 3(12) + 2, which is 48 – 11 < 36 + 2, OR 37 < 38 (TRUE).

To graph this inequality, you just need to draw a “broken,” or dotted vertical line going through x = 13. You would then need to shade the entire left section of this “broken,” or dotted vertical line to indicate that all x-values that are less than x = 13, and with y-values of 0 (zero) will satisfy this inequality. Furthermore, the points on this “broken” or dotted lined (x = 13) DO NOT satisfy this inequality.