Union of Sets For any two sets A and B, the union of A and B, symbolized A B, is defined as follows: A B = {x │x is…
Month: June 2014
Solving a Compound Inequality with and
Solving a Compound Inequality with and Step 1:- Solve each inequality in the compound inequality individually. Step 2:- Since the inequalities are joined with and, the solution set…
Find the intersection of two sets
Find the intersection of two sets The intersection of two sets is defined using the word and. Intersection of Sets For any two sets A and B,…
Solve applied problems using linear inequalities
Solve applied problems using linear inequalities In addition to the familiar “is less than” and “is greater than,” other expressions such as “is no more than” and “is at…
Solve linear inequalities with three parts
Solve linear inequalities with three parts For some applications, it is necessary to work with an inequality such as 3 < x + 2 < 8, where x +…
Multiplication Property of Inequality and Solving a Linear Inequality
Multiplication Property of Inequality For all real numbers A, B, and C, with C Z 0, (a) the inequalities A < B and AC < BC are equivalent if…
Linear Inequalities in One Variable
Linear Inequalities in One Variable Linear Inequality A linear inequality in one variable can be written in the form Ax +B < c, Where A,B, and C are real…
Solving an Applied Problem
Solving an Applied Problem Step 1:- Read the problem, several times if necessary, until you understand what is given and what is to be found. Step 2:- Assign…
Write equations from given information
Write equations from given information The symbol for equality, =, is often indicated by the word is. In fact, any words that indicate the idea of “sameness” translate to =.…
Translate from words to mathematical expressions.
Translate from words to mathematical expressions. Producing a mathematical model of a real situation often involves translating verbal statements into mathematical statements. Although the problems we will be working with…
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