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Question 154788This question is from textbook Algebra 2
: How do you solve and graph |n-3|
This question is from textbook Algebra 2
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! How do you solve and graph |n-3| < n ?
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Solve:
Note: |n-3| has two meanings depending on whether n-3 is positive or negative.
Find the dividing value for "n":
n-3 = 0 when n = 3
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Draw a number line and mark a point n= 3
Now determine whether the solutions for the inequality are in n<3 or n>3.
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Check a test value from each interval:
Checking n<3: Check n=0 in |n-3|< n: |0-3|< 0; false, so no solutions in n<3
Checking n>3: Check n=4 in |n-3|< n: |4-3|< 4: true, so solutions in n>3
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Final Answer: All Real Numbers where n>3.
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Graph:
Draw an open circle around n=3; Draw an arrow to the right from n=3.
That is the graph of the solution.
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Cheers,
Stan H.
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