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How do you graph and solve #|x-3| >5#?

Answer 1

Eva Abramson

#"Answer :"{x<-2" , "x>8}#

#|x-3|>5#

#"if " -(x-3)>5" then "-x+3>5" , "-x>5-3#

#-x>2#

#x<-2#

#"if "+(x-3)>5" than "x-3>5" , "x>5+3#

#x>8#

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Answer 2

Jameson Allen

To graph and solve (|x-3| >5), first, graph the equation (y = |x-3|). Then, identify the points where the graph is (5) units above and below the line (y=3). Finally, shade the region where the graph of (|x-3|) is greater than (5). To solve the inequality algebraically, split it into two cases: (x-3 > 5) and (x-3 < -5). Solve each case separately to find the solution set.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

How do you graph and solve #|x-3| &gt;5#?

How do you graph and solve #|x-3| >5#?