Which graph best represents the solution set for the inequality #x>sqrt2#?

Answer 1

(see below)

The phrasing of the question makes me think that (maybe) there should have been some images of graphs from which to select.

Remember that #sqrt(2)~~1.4142#
depending upon the style of graph required, the following are two possibilities:

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Answer 2

The graph of ( x > \sqrt{2} ) represents all real numbers greater than the square root of 2. It is represented by an open circle at ( \sqrt{2} ) on a number line, with an arrow extending to the right indicating all real numbers greater than ( \sqrt{2} ).

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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.

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.

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.

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.

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