Sets and Compound Inequalities

in /by

Sets and Compound Inequalities

1) Solve the compound inequality

1 over 15 less than fraction numerator 8 minus 3 x over denominator 15 end fraction less than 4 over 5

left parenthesis minus 1 1 third comma space 2 1 third right parenthesis space

(- ∞) ( ∞ )

{Ø}

left parenthesis minus 2 1 third comma 1 1 third right parenthesis

2) Which graph shows the compound inequality x < 1 and x > -3?

https://intervisualtechnology.us/pxudpothrb/167/15274/L5Q5A3.jpg

https://intervisualtechnology.us/pxudpothrb/167/15275/L5Q5A4.jpg

https://intervisualtechnology.us/pxudpothrb/167/15272/L5Q5A1.jpg

https://intervisualtechnology.us/pxudpothrb/167/15273/L5Q5A2.jpg

3) If A = {x | x is an even integer}, B = {x | x is an odd integer}, find A ∩ B.

{x | x ∈ Z}

{Ø}

{0}

{x | x ∈ R}

4) If A = {x | x is an even integer}, B = {x | x is an odd integer}, find A U B.

{x | x ∈ Z}

{Ø}

{0}

{x | x ∈ R}

5) If C = {2, 3, 4, 5} and D = {4, 5, 6, 7}, find C ∩ D.

{2, 3, 4, 5, 6, 7}

{2, 3, 4, 4, 5, 5, 6, 7}

{2, 3, 6, 7}

{4, 5}

6) If A = {1, 3, 4, 8} and B = {3, 5, 7}, find A U B.

{1, 3, 3, 4, 5, 7, 8}

{1, 3, 4, 5, 7, 8}

{1, 4, 5, 7, 8}

{3}

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