Homework

• Complete Worksheet #3• Test on Real Analysis next time

Homework

Solve the inequality and graph each non-empty solution.

1.

 

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-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

2

11

4

6461652 ttttt

Homework

Solve the inequality and graph each non-empty solution.

5.

 

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-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

51056526 rrrrr

Homework

Solve the inequality and graph each non-empty solution.

9.

 

-----|----|----|----|----|----|----|----|----|----|----|----|----|----|----|----

-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

22 24 4 4 4 0 2 0t t t t t

Homework

Solve the inequality and graph each non-empty solution.

13.

 

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-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

22 10 25 0 5 0 : 5r r r r r

Homework

17. Solve and graph the intersection of the sets:

 

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-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

263063 xxx

2 5 3 2 8 4x x x

Homework

Find and graph each nonempty set over .

1.

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-----|----|----|----|----|----|----|----|----|----|----|----|----|----|----|----

-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

2.5a

2.5 2.5a

Homework

Find and graph each nonempty set over .

5.

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-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

3s

0s

Homework

Find and graph each nonempty set over .

9.

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-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

4 1 15k

15 4 1 15 14 4 16 3.5 4k k k

Homework

Find and graph each nonempty set over .

13.

● ●

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-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

2 4 6z

2 4 6 2 4 6 2 6 8 8

2 4 6 2 4 6 2 6 4

4 8,4

z z z z z

z z z z

z z

Homework

Find and graph each nonempty set over .

17.

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-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

1 51

2 6z z

1 5 21 1 3

2 6 6

1 5 8 3 31 1 ,3

2 6 6 4 4

z z z z

z z z z z

Homework

Find and graph each nonempty set over .

21.

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-----|----|----|----|----|----|----|----|----|----|----|----|----|----|----|----

-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

13 2

x

1 1 1 13 2 5

5 5

1 1 13 2 1 1

1

x xx x

x xx x

Homework

Solve.

25.2 6 9 0y y

22 6 9 0 3 0 3

: 3

y y y y

y y

Homework

Find the prime factors of each number.

2. 1960

 

 

 

 

3 2

1960 2 980 2 2 490 2 2 2 245 2 2 2 5 49

2 2 2 5 7 7 2 5 7

Homework

Find the prime factors of each number.

6. 508

 

 

 

2508 2 254 2 2 127 2 127

Homework

Find the GCF of each pair of integers

10. 216; 539

3 3

216 2 108 2 2 54 2 2 2 27 2 2 2 3 9

2 2 2 3 3 3 2 3

539 539 1

1GCF

Homework

Find the LCM for each pair.

13. 24;32

2 3

2 3 4 5

5

24 2 12 2 6 2 3

32 2 16 2 8 2 4 2 2 2

2 3 96LCM

Homework

Use the Euclidean algorithm to find the GCF.

17. 24;16

241 8

1616

2 0 88

GCF

Homework

State whether the integer is perfect.

21. 28

28 1,2,14,4,7

1 2 14 4 7 28 perfect number