Solutions of Inequalities Videos - Free Educational Videos for Students in K - 12


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Testing solutions of inequalities


By Khan Academy

A solution to an inequality makes that inequality true. Learn how to test if a certain value of a variable makes an inequality true.

      Constraint solution sets of systems of linear inequalities


      By Khan Academy

      Given the graph of a system of inequalities, Sal finds the x-values that make the ordered pair (x,-2) a solution of the system, which is the solution set constrained to y=-2. Then he solves a similar problem where x is constrained to 4.

          Constraint solution sets of two-variable linear inequalities


          By Khan Academy

          Sal determines which x-values make the ordered pair (x,-7) a solution of 2x-7y<25. He also solves a similar problem where the inequality is given as a graph.

              Check solutions of two-variable linear inequalities


              By Khan Academy

              Sal determines whether the ordered pairs (3,5) and (1,-7) are solutions of the inequality 5x-3y���������������������25. He discussed the problem both algebraically and graphically.

                  One-step inequality involving addition


                  By Khan Academy

                  Watch this explanation of how to solve 1-step inequalities and respresent the solution on a number line. Solving an inequality means finding all of its solutions. A solution of an inequality is a number which when substituted for the variable makes the inequality a true statement. Unlike an equation an inequality has many solutions.

                      Multi-step linear inequalities


                      By Khan Academy

                      Sal solves the inequality -3p-7

                          Graph inequalities and check solutions


                          By Khan Academy

                          Learn how to graph two-variable linear inequalities.

                              Graph inequalities and check solutions


                              By Khan Academy

                              Learn how to graph two-variable linear inequalities.

                                  Graph inequalities and check solutions


                                  By Khan Academy

                                  Sal graphs the inequality y<3x+5.

                                      Check solutions of systems of inequalities


                                      By Khan Academy

                                      Sal checks whether the ordered pair (2,5) is a solution of the following system: y���������������������2x+1 and x>1.

                                          Graph inequalities and check solutions


                                          By Khan Academy

                                          Sal graphs the inequality y<3x+5.

                                              Two-variable linear inequalities word problems


                                              By Khan Academy

                                              Sal is given a two-variable linear inequality that models a context about watering plants, and answers a question about the solution set of the inequality in terms of the context.

                                                  Two-variable linear inequalities word problems


                                                  By Khan Academy

                                                  Sal is given a two-variable linear inequality that models a context about watering plants, and answers a question about the solution set of the inequality in terms of the context.

                                                      One-step inequalities


                                                      By Khan Academy

                                                      In addition to solving the inequality, we'll graph the solution. Remember to swap if you mutiply both sides of the inequality by a negative number.

                                                          Two-variable linear inequalities word problems


                                                          By Khan Academy

                                                          Sal is given a two-variable linear inequality that models a context about watering plants, and answers a question about the solution set of the inequality in terms of the context.

                                                              Two-variable linear inequalities word problems


                                                              By Khan Academy

                                                              Sal is given a two-variable linear inequality that models a context about watering plants, and answers a question about the solution set of the inequality in terms of the context.

                                                                  Multi-step linear inequalities


                                                                  By Khan Academy

                                                                  Sal solves the inequality 5x+7>3(x+1), draws the solution on a number line and checks a few values to verify the solution.

                                                                      Graph systems of inequalities and check solutions


                                                                      By Khan Academy

                                                                      Sal determines the solution set of the following system: y���������������������2x+1 and y<2x-5 and x>1. He does that by graphing the system and analyzing the graph.

                                                                          Graph systems of inequalities and check solutions


                                                                          By Khan Academy

                                                                          Learn how to graph systems of two-variable linear inequalities.

                                                                              Graph systems of inequalities and check solutions


                                                                              By Khan Academy

                                                                              Sal determines the solution set of the following system: y���������������������2x+1 and y<2x-5 and x>1. He does that by graphing the system and analyzing the graph.