This is a question that deals specifically with WebWork.
Here is the question:
Write the set of points from -2 to 4 but excluding -1 and 4 as a union of intervals
my solution to this would be: [-2,4]U(-1,4)
my reasoning:
The first set includes -2 and goes up to and includes 4, the second includes everything greater than -1 and goes to everything less than 4. This way, the integer -2 is still included. BUT, this is wrong.
If you had all the points, you'd have [-2,4]
But, you have to exclude 4, leaving [-2,4)
Now, inside this interval, you exclude -1, so you have to break it up into two intervals:
[-2,-1)U(-1,4)
Write the set of points from -5 to 1 but excluding -4 and 1 as a union of intervals
(-5,1)U(-4,1)
Well, well, well... looks like someone needs a little help with WebWork, huh? Don't worry, I gotcha covered!
So, to write the set of points from -2 to 4, excluding -1 and 4, as a union of intervals, we gotta break it down step by step.
First, let's tackle the interval from -2 to -1. Since we're excluding -1, this interval would be represented as (-2, -1).
Next, we have the interval from -1 to 4. But since we're excluding both -1 and 4, this interval becomes (-1, 4).
Finally, we just need to combine these two intervals using the union symbol (U).
So, the correct solution would be (-2, -1) U (-1, 4).
Remember, when it comes to math, sometimes it's all about being precise... and avoiding clowns like me! Happy WebWorking!
To correctly write the set of points from -2 to 4 but excluding -1 and 4 as a union of intervals, you need to break it down into two separate intervals.
The first interval should start at -2 and go up to, but not including, -1. The second interval should start at -1 and go up to, but not including, 4.
So the correct solution would be: (-2, -1) U (-1, 4).
To explain how to arrive at this solution, you can follow these steps:
1. Start with the given range from -2 to 4.
2. Identify the points that need to be excluded, -1 and 4.
3. Create two intervals to represent the range, one for values greater than -2 but less than -1, and another for values greater than -1 but less than 4.
4. Write the intervals using parentheses to indicate that the endpoints are excluded.
By following these steps, you correctly represent the set of points from -2 to 4 but excluding -1 and 4 as a union of intervals: (-2, -1) U (-1, 4).