Chapter three info

A linear inequality in one variable can be written as Ax + B < C.  This is true when A, B, and C are not equal to 0.

Addition property of inequality
A<B and A+C< B+ C are equivalent.   Adding the same number to each side of an inequality does not change the solution set.

Multiplication property of inequality
for all real numbers A, B, and C, with C not equal to 0
A<B and AC<BC are equivalent if C>0
Here are the steps to solving a linear inequality.

1. Simplify each side separately. Use the distributive property to clear parentheses and combine like terms as needed.

2. Isolate the variable terms on one side.  Use the addition property of inequality to get all terms with variables on one side of the inequality and all numbers on the other side.

3.  Isolate the variable.  Use the multiplication property of inequality to change the inequality to the form of x<k or x> k