In Chapter 3 you will solve single variable equations, represent sets graphically and symbolically, solve single variable inequalities and learn about problem solving with linear equations and inequalities.
The Zero Principle
Zero can be represented by two like quantities with opposite signs.
3+(-3)=0
Single variable equations
Zero can be represented by two like quantities with opposite signs.
3+(-3)=0
Single variable equations
Set notation
a mathematical statement that shows an inequality or
equation and the set of numbers to which the variable belongs.
The symbol ∈ means “belong to” or “is an element of”. This
is used to let you know what set of numbers your variable
belongs to.
R is for Rational numbers and I is for Irrational numbers
You can represent sets in two ways: symbolically and graphically
When a set is represented symbolically it will look something like this:
{x | -5 < x ≤ 6 , x∈R} or {x | x ≥ 5, x∈I}
when representing a set graphically it may look like this:
a mathematical statement that shows an inequality or
equation and the set of numbers to which the variable belongs.
The symbol ∈ means “belong to” or “is an element of”. This
is used to let you know what set of numbers your variable
belongs to.
R is for Rational numbers and I is for Irrational numbers
You can represent sets in two ways: symbolically and graphically
When a set is represented symbolically it will look something like this:
{x | -5 < x ≤ 6 , x∈R} or {x | x ≥ 5, x∈I}
when representing a set graphically it may look like this:
Problem solving with linear equations and inequalities Linear equations are often used to solve practical problems that have an unknown quantity. We use a suitable pronumeral to represent the unknown quantity, translate the information given in the problem into an equation, and then solve the equation using the skills acquired earlier in this chapter.Example 11If a number is increased by 8, the result is 25. Find the number
Solution
Solution