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1. Write the interval of points that are less than -4:

 

2. Write the set of points from -5 to 2 but excluding -1 and 2 as a union of intervals:

 Aug 25, 2021
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We have to find the interval of points that are less than -4

i.e.

We have to find x such that x < -4

So,

The interval notation is as follows:

x ∈ (−∞, −4)

 

 

 

We have to find the set of points from -5 to 2

i.e.

We have to find x such that −5 ≤ x ≤ 2

The interval notation for this is as follows 

x ∈ [−5, 2]

but

We have to exclude -1 and 2 as a union of intervals.

So,

The Interval notation becomes

x ∈ [−5, −1) ∪ (−1, 2)

 

 

 

 

Answer:

 

 

     1. (−∞, −4)

     2. [−5, −1) ∪ (−1, 2)

 Aug 25, 2021

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