How do you express intervals as inequalities such as (-4,-2)?

Answer 1

#-4< x< -2# #:x in RR#

Let's assume we are dealing with the interval between #-4# and #-2# on the real line, exclusive of the upper and lower end points.
This means we are considering all points #x# on the real line between -4 and -2 exclusive. That is all points #x in R# where #-4< x<-2#
NB: If we were considering the interval including the upper and lower end points, this could be written: # -4 <= x <= -2# #:x in RR#
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Answer 2

To express intervals as inequalities such as (-4, -2), you use round brackets to indicate that the endpoints are not included in the interval. In this example, the interval represents all real numbers greater than -4 but less than -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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