Sunday, March 4, 2012

What is a mathematical statement?

Aim: What is a mathematical statement?

Definitions:
A Mathematical Statement: Is a statement that can be judged to be true or false
 For Example:
  1. All quadrilaterals have 4 sides. True or False
  2. 17-3=14. True or False
Negations: The word "NOT" Always have the opposite truth value.
 Such as: " If its not raining, Then I will not take my umbrella.
 The opposite: If it is raining, Then I will take my umbrella.

When a Statement has "AND" or "OR"
 Both Statements are true, and also can be either statement can be true.

 Conditional: The conditional is the most used statement in the construction of and argument or in the study of mathematics.
For Example:
Conditional: If its raining, Then its cloudy.
Argument: If it is not cloudy, Then it is not raining,

Inverse: Is formed by negativing the hypothesis and conclusion.
EX:
"If Talia had 14 balloons after giving 7 away, Then Talia has 7 left."
Inverse: "If Talia has 7 balloons left, Then she originally had 14 balloons before giving 7 balloons away."

Solve:

"If Sally's age is twice as Billy's age and Billy's age is 3, Then Sally's age is 6."
What is the Inverse?

Inverse: