3-1 to 3-4
Solving Inequalities & Their Graphs
Solving Inequalities & Their Graphs
Solve and Graph your solution.
9 + p < 17
p < 8
Write the following set in ROSTER FORM.
A is the set of integers that are greater than -4 and less than 2.
A = {-3, -2, -1, 0, 1}
A compound inequality consists of two distinct inequalities joined by the word _________ or the word ________.
and, or
The ABSOLUTE VALUE of a number is ____________.
its distance from zero on a number line.
The UNION of 2 or more sets is the set that contains ___________________.
all elements of all the sets.
Solve and Graph your solution.
12x - 5 > -29
b > -2
Write the following set in SET BUILDER NOTATION.
B is the set of natural numbers less than 9
B = {x|x is a natural number, x<9}
If a solution is less than or equal to, the graph should contain what type of dot? Open or closed?
Closed
Solve the following absolute value EQUATION.
|x + 4| = 6
{-10, 2)
The INTERSECTION of 2 or more sets is the set of elements that are __________________.
common in every set
Solve and Graph your solution.
6(x + 3) - 9 > 27
x > 3
A set that contains no elements is called _________.
Empty Set or Null Set
Graph the following inequality and write in INTERVAL NOTATION.
x < 5
(-infinity,5)
Solve the following absolute value EQUATION.
|3x - 6| - 5 = -7
no solution
Sets that have NO ELEMENTS in common are called _________________
disjoint sets
Solve and Graph your solution.
1 - 4x > 4 - x
x < -1
List all of the subsets of the following set.
{blue, yellow, red}
{}, {blue, yellow, red}, {blue}, {yellow}, {red}, {blue, yellow}, {blue, red}, {yellow, red}
What is the graph of [-4, 6)? How do you write this as an inequality?
-4 < x < 6
Solve the following absolute value INEQUALITY.
|8 - x| < 8
0 < x < 16
Set X = {1, 4, 9}, Set Y = {x|x is an odd whole number less than 10}, Set Z = {2, 4, 6, 8}
What is the intersection of set X and set Y?
{1, 9}
Solve and Graph your solution.
2(x - 5) + 4x < 56
x < 11
Suppose the Universal set is U={soccer, football, baseball, basketball, bowling, golf, tennis}.
Set X contains all of the sports that begin with the letter B. What is the COMPLIMENT to set X?
X'={soccer, football, golf, tennis}
Solve this compound inequality and graph the solution.
2x - 3 < x and 2x + 1 > x + 3
2 < x < 3
Solve the following absolute value INEQUALITY.
|4x - 1| > 11
x > 3 or x < -5/2
100 people were surveyed. For exercise, some people jog and some ride a bike. Some do both and 15 do not jog or bike. If 46 people jog and 21 of them both jog and ride a bike. How many people only ride a bike for exercise?
39