Rev.S08
MAC 1105
Module 3
System of Equations and
Inequalities
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Learning Objectives
Upon completing this module, you should be able to:
1.
Evaluate functions of two variables.
2.
Apply the method of substitution.
3.
Apply the elimination method.
4.
Solve system of equations symbolically.
5.
Apply graphical and numerical methods to system of
equations.
6.
Recognize different types of linear systems.
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Learning Objectives (Cont.)
7.
Use basic terminology related to inequalities.
8.
Use interval notation.
9.
Solve linear inequalities symbolically.
10.
Solve linear inequalities graphically and numerically.
11.
Solve double inequalities.
12.
Graph a system of linear inequalities.
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Rev.S08
System of Equations and Inequalities
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System of Linear Equations in Two Variables

System of Linear Equations in Two Variables

Solutions of Linear Inequalities

Solutions of Linear Inequalities
There are two major topics in this module:
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Do We Really Use Functions of Two
Variables?
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The answer is YES.
Many quantities in everyday life depend on more than
one variable.
Examples
Area of a rectangle
requires both width and length.
Heat index
is the function of temperature and humidity.
Wind chill
is determined by calculating the temperature
and wind speed.
Grade point average
is computed using grades and
credit hours.
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Let’s Take a Look at the
Arithmetic Operations
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The
arithmetic operations
of addition, subtraction,
multiplication, and division are computed by
functions
of two inputs
.
The addition function of
f
can be represented
symbolically by
f
(
x,y
) =
x
+
y
, where
z
=
f
(
x,y
)
.
The
independent variables
are
x
and
y
.
The
dependent variable
is
z
. The
z
output
depends
on the
inputs
x
and
y
.
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