Interval Notation
Express the inequality using interval notation.
x<-2
(-inf,-2)
Give an example of a 3x3 graph with infinitely many solutions
Answers may vary
Graph the interval represented in inequality notation on the number line.
-9<=x<14
Show on board
What is the first step to solving systems of 3x3 equations?
Choose 2 equations and eliminate a variable to create your "equation A"
Express the interval shown on the number line in inequality notation.
SHOW NUMBER LINE ON BOARD.
x≤−10 or x≥7
4x + y −3z = 45
6x −4y +3z = 41
2x −7y −11z = 85
(2,-2,9)
Express the inequality using interval notation.
x≤2 or x≥7
Interval Notation:
(−∞,2]∪[7,∞)
Solve the following system of equations for all three variables.
7x+y+3z= 33
−4x−y−2z=−4
−5x−y−4z=−2
Final Solution:
x=0 y=6 z=−1
Express the interval using two different representations.
x≤−10 or x≥−1
Interval Notation:
(−∞,−10]∪[−1,∞)
SHOW NUMBER LINE ON BOARD
Jamie has a collection of 78 nickels, dimes, and quarters worth $12.40. If the number of quarters is doubled, the value becomes $22.15. How many of each type of coin does Jamie have?
25 nickels, 14 dimes, 39 quarters