Subsets/Compliments
Unions and Intersections
Inequalities (word problems)
Absolute Value
100
Find 3 subsets {a, b, c}
{empty set}, {a}, {b}, {c}, {a,b}, {a,c}, {b,c}, {a,b,c}
100
A = {100, 200, 300} B= {300, 400, 500} Find A union B.
{100, 200, 300, 400, 500}
100
Your temperature must be more than 100 degrees to stay home sick. Write an inequality.
x>100
100
| x - 2| = 6
x= 8, x= -4
200
U = {2, 4,6,8,10,12} A= {6,8,10} A'= ?
A' = {2,4,12}
200
A = {T, U, V, W, X} B = {V, X, A, B, T} Find the INTERSECTION of A and B.
{V, X, T}
200
Jim has $100. He wants to save up more than $450 for a new phone. He earns $25 an hour. WRITE then SOLVE an inequality for the amount of hours Jim could work to beat his goal.
100 + 25x >450, x>14
200
| 2x - 5 | = -4
No solution
300
How many subsets will {1,4,7,15} have?
16
300
A= {all of the negative integers and zero} B= {all of the positive integers} What is A union B?
{all integers}
300
The quotient of a number and -4 is less than 12. WRITE then SOLVE an inequality.
x/-4 <12, x>-48
300
2| x - 5 | = 10
x=10, x=0
400
U= {all the positive multiples of 1} B= {all even natural (counting) numbers} B'=?
{all odd counting numbers}
400
A ={x| x>0, x is a real number} B= {all positive multiples of 3} What is the INTERSECTION of A and B?
{all positive multiples of 3}
400
A business person earns $55,000 a year, plus 5% commission on his sales. Their goal is to be $75,000 in earnings this year. Write and solve an INEQUALITY that represents how well they have to do in sales.
55,000 + 0.05x > 75,000 x>400,000
400
3| 8 - b | - 11 = -5
b= 6, b=10
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