How do you put combine two ranges into a single formula?

y<=-1
y>1

Answer 1

Avery Alexander

#y in (-oo, -1]uu(1,+oo)#

Assume #y in RR#

We are told that: #y<=-1 or y>1#

That means that #y# can take all real values less than or equal to #-1# and all real values greater than #+1#

We can express this in interval notation as:

#y in (-oo, -1]uu(1,+oo)#

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Answer 2

Julia Adams

To combine two ranges into a single formula, you can use the union operator (∪) if you want to include all the elements from both ranges. For example, if you have two ranges A = {1, 2, 3} and B = {4, 5, 6}, you can combine them into a single formula as A ∪ B = {1, 2, 3, 4, 5, 6}.

If you want to include only the common elements between the two ranges, you can use the intersection operator (∩). For example, if you have the same ranges A and B as before, the intersection of A and B is the empty set since they have no common elements.

Additionally, you can use set-builder notation or other mathematical expressions depending on the context and requirements of the problem.

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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 put combine two ranges into a single formula?

y<=-1 y>1

y<=-1
y>1