Algebra 1 Common Core Student Edition, Grade 8-9

<9 Lesso n Ch eck

Do y o u k n o w H OW?

1. How do you write "G is th e set of odd natural
   num b ers th a t are less th a n 18" in roster form?
   In set-builder notation?


2. In set-builder notation, how do you w rite the
   solutions of 5 + d < 8?


3. W hat are all th e subsets of {4, 8,12}?


4. Given th e universal set U = {seasons of the year}
   and W = {winter}, what is W'l

Do yo u UN DERSTAN D? PRA CTICES

© 5. Vocab ular y W hat is th e co m p lem en t of A'? E x p l a i n.

6. Is th e first set in each p air a su b set of th e second
   set? Explain.
   a. 0 ; {1,3, 5} b. {l, 3,5}; {l, 3} c {3}; {1,3,5}


7. Reasoning A nonem pty set is a set that contains at least
   one element. Given nonempty sets A a n d B, suppose
   that A C B. Is B C A always, sometimes, or never t r u e?

8. Er r o r A n a l y si s A s tu d e n t says sets A and B b e l o w a r e

th e sam e. W hat error did th e stu d en t m ake?

A = {x | x is a w hole n u m b e r less th a n 5}

B={1, 2, 3,4}

Pr act i ce an d Pr o b l em - So l v i n g Ex er ci ses

Pr act i ce

MAIHEMATICAL

PRACTICES

Write each set in roster form and in set-builder notation.

9. M is th e set of integers th a t are greater th a n - 1 a n d less th a n 4.


10. N is th e set of real n u m b ers th a t are factors of 12.


11. P is th e set of n atu ral n u m b ers th a t are less th a n 11.


12. R is th e set of even n atu ral n u m b ers th a t are less th a n 2.

Write the solutions of each inequality in set-builder notation.

13. 4y + 7>23


14. 7 -3 d > 2 8

List all the subsets of each set.

19. 
    

    {a, e, i, o}

    
    


20. 
    

    { - 2 , 2 }
    14. 5r + 8 < 63
    17. 2(3p — 11} > -1 6

    
    


21. 
    

    { 0 , 1 , 2 }

    
    


22. 
    

    { 1 }

    
    

Se e Pr o b l em 1.

Se e Pr o b l em 2.

15. 13- 9 m <58


16. 3(2fc+ 12) < -4 2

Se e Pr o b l em 3.

21. {dog, cat, fish}


22. { + ,- , X, + }


23. Suppose U = { l, 2, 3,4, 5} is th e universal set a n d A = {2,3}. W hat is A '?


24. Suppose U = {1, 2, 3, 4, 5, 6,7, 8} is th e universal set an d P = {2, 4, 6, 8}.
    What isP'?


25. Suppose [/={... , - 3 , - 2 , - 1 , 0,1, 2,3,... } is th e universal set an d
    R={... , - 3 , - 1 , 1 , 3 ,... }. WhatisP'?


26. Suppose U= {l,2} is th e universal set an d T= { l}. W hat is T'l

Se e Pr o b l em 4.

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PowerAlgebra.com ^ 1 L e s s o n 3- 5 W o rkin g W it h Set s 197

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