Algebra (COMPOUND INEQUALITY GRAPHS)

Given A = {x | x < 1}, B = {x | x ≥ 5}, and C = {x | x = 5}, match the following items.

1. A U B 2. A U C 3. B U C 4. A ∩ B 5. B ∩ C 1. {x | x < 1 or x ≥ 5} 2. {x | x < 1 or x = 5} 3. {x | x ≥ 5} 4. [empty set] 5. {x I x = 5}

http://www.zazzle.com/math_symbols_poster-228464481125432442

Signs and Symbols

Given X = {15, 22, 33, 44, 89, 165, 1025} and Y = {-5, 15, 33, 88, 99, 150, 160, 1025}, which of the following statements is false?

X u Y = {-5, 15, 22, 33, 44, 89, 99, 150, 160, 165, 1025}

compound inequality

a statement formed by two or more inequalities

What is the solution set of {x | x < -5} ∩ {x | x > 5}?

all numbers less than -5 and greater than 5

Which of the following describes the graph of {x | x ≤ 1} u {x | x ≥ 4}?

closed circles on 1 and 4 with arrows pointing outward

Which of the following describes the graph of {x | 2 < x < 2}

no solution

Let A = {the Rationals} and B = {the Irrationals}. Find A U B.

the Reals

intersection (∩ between)

the intersection of sets A and B is defined as any elements that are in both set A and set B

What is the solution set of {x | x > -5} U {x | x < 5}?

the numbers between -5 and 5

I symbol means:

the set of all x such that x

union (u)

the union of sets A and B is defined as any elements that are in either set A or set B

Write a compound inequality to represent all of the numbers between -4 and 6.

{ x I x equal to or greater than -4 and and equal to or less than 6}