01. Prove the following conjecture: The sum of any two consecutive integers can be written in the form 4n +1 where n is some integer. 02. Prove the following conjecture: If n is even, then 7n + 4 is even. 03. Prove by contradiction: Let a , b be the side lengths of a right triangle. Let c be the length of the hypotenuse of the right triangle. Prove c > a +b 04. Prove by contradiction: For all integers n , If n ^ 3 is odd then n is odd.
Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
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