Sets and compound inequalities, math homework help

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

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

b. (- ∞) ( ∞ )

c. {Ø}

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

=================================

Solve the compound inequality.

3x + 2 ≥ 5 or 7x + 1 < 29


a, [1, 4)

b. (-∞, 1] U (4, ∞)

c. [1, ∞)

d. (-∞, ∞)

=================================

Solve the compound inequality.

x + 9 < 0 or 4x > -12


a. (-∞, -3)

b. (-∞, -9) U (-3, ∞)

c. (-∞, -9)

d. (-∞, ∞)

=================================

Solve the compound inequality.

-2 ≤ 3x – 5 ≤ 7


a. [1, 4]

b. {Ø}

c. (-∞, 1]

d. [4, ∞)

================================

Solve the compound inequality.
x + 1 ≥ 7 and 3x – 1 ≥ 5


a. [2, 6]

b. {Ø}

c. [6, ∞)

d. [2, ∞)

=======================================

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


a. http://www.intervisualtechnology.us/data/1/15272/L5Q5A1.jpg

b. http://www.intervisualtechnology.us/data/1/15273/L5Q5A2.jpg

c. http://www.intervisualtechnology.us/data/1/15274/L5Q5A3.jpg

d. http://www.intervisualtechnology.us/data/1/15275/L5Q5A4.jpg

===================================

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


a. {x | x ∈ Z}

b. {Ø}

c. {0}

d. {x | x ∈ R}

==============================

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


a, {x | x ∈ Z}

b. {Ø}

c. {0}

d. {x | x ∈ R}

===================================

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


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

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

c. {2, 3, 6, 7}

d. {4, 5}

============================

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


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

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

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

d. {3}