Linear Equations / Inequalities – graphing the solution set In this module we will be solving linear equations and inequalities and graphing their solution on a number line.

Linear Equations / Inequalities – graphing the solution set In this module we will be solving linear equations and inequalities and graphing their solution on a number line. EXAMPLE # 1 : Graph the solution to

Linear Equations / Inequalities – graphing the solution set In this module we will be solving linear equations and inequalities and graphing their solution on a number line. EXAMPLE # 1 : Graph the solution to Let’s first solve for the unknown…

Linear Equations / Inequalities – graphing the solution set In this module we will be solving linear equations and inequalities and graphing their solution on a number line. EXAMPLE # 1 : Graph the solution to Let’s first solve for the unknown…

Linear Equations / Inequalities – graphing the solution set In this module we will be solving linear equations and inequalities and graphing their solution on a number line. EXAMPLE # 1 : Graph the solution to Let’s first solve for the unknown… - 7 Draw a simple number line…and plot your solution

Linear Equations / Inequalities – graphing the solution set In this module we will be solving linear equations and inequalities and graphing their solution on a number line. EXAMPLE # 2 : Graph the solution to

Linear Equations / Inequalities – graphing the solution set In this module we will be solving linear equations and inequalities and graphing their solution on a number line. EXAMPLE # 2 : Graph the solution to Let’s first solve for the unknown…

Linear Equations / Inequalities – graphing the solution set In this module we will be solving linear equations and inequalities and graphing their solution on a number line. EXAMPLE # 2 : Graph the solution to Let’s first solve for the unknown… 2 Draw a simple number line…and plot your solution

Linear Equations / Inequalities – graphing the solution set We will use the steps described in the previous module when graphing our solution. We must now look at solving an inequality properly. It is exactly the same as solving with an equal sign, except for one little twist.

Linear Equations / Inequalities – graphing the solution set We will use the steps described in the previous module when graphing our solution. We must now look at solving an inequality properly. It is exactly the same as solving with an equal sign, except for one little twist. Which sign ( < or > ) would you place between 4 and 5 ?

Linear Equations / Inequalities – graphing the solution set We will use the steps described in the previous module when graphing our solution. We must now look at solving an inequality properly. It is exactly the same as solving with an equal sign, except for one little twist. Which sign ( < or > ) would you place between 4 and 5 ? The less than symbol, because 4 is less than 5

Linear Equations / Inequalities – graphing the solution set We will use the steps described in the previous module when graphing our solution. We must now look at solving an inequality properly. It is exactly the same as solving with an equal sign, except for one little twist. Which sign ( < or > ) would you place between 4 and 5 ? The less than symbol, because 4 is less than 5 Which sign ( < or > ) would you place between ( - 4 ) and ( - 5 ) ?

Linear Equations / Inequalities – graphing the solution set We will use the steps described in the previous module when graphing our solution. We must now look at solving an inequality properly. It is exactly the same as solving with an equal sign, except for one little twist. Which sign ( < or > ) would you place between 4 and 5 ? The less than symbol, because 4 is less than 5 Which sign ( < or > ) would you place between ( - 4 ) and ( - 5 ) ? The greater than symbol, because ( - 4 ) is greater than ( - 5 )

Linear Equations / Inequalities – graphing the solution set We will use the steps described in the previous module when graphing our solution. We must now look at solving an inequality properly. It is exactly the same as solving with an equal sign, except for one little twist. And there is our twist. Notice how the symbol “changed direction” when we changed our integers to negatives.

Linear Equations / Inequalities – graphing the solution set We will use the steps described in the previous module when graphing our solution. We must now look at solving an inequality properly. It is exactly the same as solving with an equal sign, except for one little twist. And there is our twist. Notice how the symbol “changed direction” when we changed our integers to negatives. If you multiply / divide by a negative coefficient when solving an inequality, the symbol changes direction.

Linear Equations / Inequalities – graphing the solution set We will use the steps described in the previous module when graphing our solution. We must now look at solving an inequality properly. It is exactly the same as solving with an equal sign, except for one little twist. If you multiply / divide by a negative coefficient when solving an inequality, the symbol changes direction. EXAMPLE # 1 : Solve and graph the solution set for :

Linear Equations / Inequalities – graphing the solution set We will use the steps described in the previous module when graphing our solution. We must now look at solving an inequality properly. It is exactly the same as solving with an equal sign, except for one little twist. If you multiply / divide by a negative coefficient when solving an inequality, the symbol changes direction. EXAMPLE # 1 : Solve and graph the solution set for :

Linear Equations / Inequalities – graphing the solution set We will use the steps described in the previous module when graphing our solution. We must now look at solving an inequality properly. It is exactly the same as solving with an equal sign, except for one little twist. If you multiply / divide by a negative coefficient when solving an inequality, the symbol changes direction. EXAMPLE # 1 : Solve and graph the solution set for : closed circle 7

Linear Equations / Inequalities – graphing the solution set We will use the steps described in the previous module when graphing our solution. We must now look at solving an inequality properly. It is exactly the same as solving with an equal sign, except for one little twist. If you multiply / divide by a negative coefficient when solving an inequality, the symbol changes direction. EXAMPLE # 2 : Solve and graph the solution set for :

Linear Equations / Inequalities – graphing the solution set We will use the steps described in the previous module when graphing our solution. We must now look at solving an inequality properly. It is exactly the same as solving with an equal sign, except for one little twist. If you multiply / divide by a negative coefficient when solving an inequality, the symbol changes direction. EXAMPLE # 2 : Solve and graph the solution set for :

Linear Equations / Inequalities – graphing the solution set We will use the steps described in the previous module when graphing our solution. We must now look at solving an inequality properly. It is exactly the same as solving with an equal sign, except for one little twist. If you multiply / divide by a negative coefficient when solving an inequality, the symbol changes direction. EXAMPLE # 2 : Solve and graph the solution set for : open circle - 5

Linear Equations / Inequalities – graphing the solution set We will use the steps described in the previous module when graphing our solution. We must now look at solving an inequality properly. It is exactly the same as solving with an equal sign, except for one little twist. If you multiply / divide by a negative coefficient when solving an inequality, the symbol changes direction. EXAMPLE # 2 : Solve and graph the solution set for : Yes, we got a negative solution. But we DIDN’T divide by a negative to get it. So the symbol stays the same… open circle - 5

Linear Equations / Inequalities – graphing the solution set We will use the steps described in the previous module when graphing our solution. We must now look at solving an inequality properly. It is exactly the same as solving with an equal sign, except for one little twist. If you multiply / divide by a negative coefficient when solving an inequality, the symbol changes direction. EXAMPLE # 3 : Solve and graph the solution set for :

Linear Equations / Inequalities – graphing the solution set We will use the steps described in the previous module when graphing our solution. We must now look at solving an inequality properly. It is exactly the same as solving with an equal sign, except for one little twist. If you multiply / divide by a negative coefficient when solving an inequality, the symbol changes direction. EXAMPLE # 3 : Solve and graph the solution set for :

Linear Equations / Inequalities – graphing the solution set We will use the steps described in the previous module when graphing our solution. We must now look at solving an inequality properly. It is exactly the same as solving with an equal sign, except for one little twist. If you multiply / divide by a negative coefficient when solving an inequality, the symbol changes direction. EXAMPLE # 3 : Solve and graph the solution set for : We divided by ( - 4 ) so the symbol changed direction…

Linear Equations / Inequalities – graphing the solution set We will use the steps described in the previous module when graphing our solution. We must now look at solving an inequality properly. It is exactly the same as solving with an equal sign, except for one little twist. If you multiply / divide by a negative coefficient when solving an inequality, the symbol changes direction. EXAMPLE # 3 : Solve and graph the solution set for : Rewrite your answer with the variable on the left and “flip” your symbol… 2