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# Class Note for MATH 1310 at UH 3

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This 4 page Class Notes was uploaded by an elite notetaker on Friday February 6, 2015. The Class Notes belongs to a course at University of Houston taught by a professor in Fall. Since its upload, it has received 20 views.

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Date Created: 02/06/15
Math 13 10 Chapter 2 Section 26 Solving Linear Inequalities Solving Linear Inequalities To solve a linear inequality containing a variable isolate the variable on one side of the inequality and find all values of the variable that make the inequality true Use the following rules to isolate the variable in the inequality when solving the inequality 1 A gt B is equivalentto A C gt B C 2 A gt B is equivalent to A C gt B C 3 If C gt 0 then A gt B is equivalent to AC gt BC 4 If C lt 0 then A gt B is equivalent to AC lt BC Note The inequality symbol bolded in red can be replaced with any other inequality symbol 3 lt or 5 Example 1 Solve the inequality graph the solution set on the real number line and give the answer in interval notation 8 4x lt 4x 1 Example 2 Solve the inequality graph the solution set on the real number line and give the answer in interval notation 3l 2x 5 x 11 Example 3 Solve the inequality graph the solution set on the real number line and give the answer in interval notation 10 5 2x 4 lt 20 Example 4 Solve the inequality graph the solution set on the real number line and give the answer in interval notation 3 2 x l 4 6 2

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