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

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)