Write the set of points from -7 to -1 but excluding -4 and -1 as a union of intervals
[-7,-4)U(-4,-1)
To express the set of points from -7 to -1 excluding -4 and -1 as a union of intervals, we can divide it into three intervals:
1) From -7 to -4: (-7, -4)
2) From -4 to -1: (-4, -1)
3) From -1 to -1: (-1, -1)
Therefore, the set of points can be written as a union of intervals as (-7, -4) ∪ (-4, -1) ∪ (-1, -1).
To write the set of points from -7 to -1 excluding -4 and -1 as a union of intervals, we will break it down into two intervals: one interval from -7 to -4, and another interval from -4 to -1.
Interval 1:
To represent the interval from -7 to -4, excluding -4, we use parentheses () to indicate an open interval. The interval would be (-7, -4).
Interval 2:
To represent the interval from -4 to -1, excluding both -4 and -1, we need to break it down further. Since the point -4 is excluded, we can represent it using two separate intervals. We use a square bracket [ ] to indicate a closed interval and a parenthesis ( ) to indicate an open interval.
The interval from -4 to -1 excluding -4 would be represented as (-4, -1].
Combining both intervals, we have:
(-7, -4) ∪ (-4, -1]