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How do you graph and solve #|1/x| > 2#?

Answer 1

#x in (-1/2, 1/2)#. The graph is the line segment on the x-axis, in between #x = -1/2 and x = 1/2#, sans the end points.

This is the same as #|x|<1/2#, which is the pairwise inequality for #x<1/2, and -x<1/2#, which is the pairwise inequality for #x> -1/2#.

#x in (-1/2, 1/2)#, then.

The line segment on the x-axis between the two points is the graph.

Without the end points, #x = -1/2 and x = 1/2#.

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Answer 2

Eli Assouline

To graph and solve the inequality |1/x| > 2, you would first identify where the function 1/x is positive and negative, then find the points where |1/x| = 2, and finally determine the intervals where |1/x| > 2. The solution involves considering different intervals and analyzing the behavior of the function within those intervals.

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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 #|1/x| &gt; 2#?

How do you graph and solve #|1/x| > 2#?