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Arturiano [62]
3 years ago
9

Consider the universal set R,R, define the interval A=[−7,1],A=[−7,1], interval B=(−1,5),B=(−1,5), and CC be the negative real n

umbers. Complete the following exercises in interval notation.
1. A∪B=A∪B=

2. A∩B∩C=A∩B∩C=

3. A∩(B∪C)=A∩(B∪C)=

4. A^c ∪ B^c∪ C^c=

5. (C−A)∪(B−C)=(C−A)∪(B−C)=

Mathematics
1 answer:
AURORKA [14]3 years ago
8 0
Draw a diagram representing the real number line, and the sets A  and B.

According to the diagram:

<span>1. A∪B= [-7, 5)

2. </span><span>2. A∩B∩C= (-1, 0)

</span>3. A∩(B∪C)= [-7, 1] <span>∩ (-INFINITY, 5) = [-7, 1]

4. </span>4. A^c ∪ B^c∪ C^c= (not A) ∪ (not B) ∪ (not C) = 

(-infinity, -7) ∪ (1, infinity)   ∪  (-infinity, -1] ∪ [5, infinity)   ∪ [0, infinity)

= (-infinity, -1] ∪ (1, infinity ) ∪ [0, infinity) = (-infinity, -1] ∪ [0, infinity) 

5. (C−A)∪(B−C)= "in C but not in A" union "in B but not in C"

=(-infinity, -7) ∪ [0, 5) 

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Keith_Richards [23]
So x is John's age.
We can solve this problem by working backwards.
Since it's 5 times his age, we first do 5x.
And then since it's five less, we move on to 5x - 5
And then we add the John's age is increased by 11: 5x - 5 = x + 11
I hope this helped :)
(It should be the second one you listed)
7 0
3 years ago
9e + 4 = — 5e + 14 - 13e
astra-53 [7]

Answer:

x=10/27

Step-by-step explanation:

just add the E's on one side than move over the other E than move 14 to the 4 by minusing it

6 0
3 years ago
Pleaseeee help!!!! I will mark you as brainlinest for correct answer!!!!!!!!
Anni [7]
I used a graphing calculator for this.

The solution my calculator got was:

(-2.625, 0.688) My calculator is very accurate, I don't think the test expects it to be like that.

Let's find the closest coordinates.

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~kaikers
5 0
3 years ago
The rear wheel of a lawn tractor has a 20-inch radius. Find the angle (in radians) through which a wheel rotates in 23 seconds i
Minchanka [31]

Answer:

263.12 radians

Step-by-step explanation:

The length of the rear wheel is given by:

L=2\pi r\\L=40\pi

The distance traveled by the lawn tractor in 23 seconds is:

d=13\frac{miles}{hour} *63360\frac{inch}{miles}*\frac{1\ hour}{3600\ seconds}*23\ seconds\\ d=5,262.4\ inches

The angle through which a wheel rotates is given by:

A=\frac{d}{L}*2\pi \\A=\frac{5,262.4}{40\pi}*2\pi\\A=263.12\ radians

The wheel rotates through a 263.12 radians angle.

8 0
3 years ago
What is 7/10 as a decimal
topjm [15]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~HITHERE~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

~~~~~~~~~~~~~~~~~~~~~~~~~~~THEANSWER~~~~~~~~~~~~~~~~~~~~~~~~~~~

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~0.7~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

HOPE THIS HELPED

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~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

7 0
3 years ago
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