This week in Precalc 11 I have relearned how to solve inequalities and graph them. I chose to display my learning of the simplicity of inequalities because it is important to know the basics so you can build off of it. Inequalities are made up of two expressions that are not equal to each other, separated by the “crocodile eats the bigger number.”
When purposely solving an inequality and graphing it you would want to start by isolating Y on either side of the inequality and getting rid of any coefficient attached to it. Important note: when isolating Y by dividing by a negative the sign flips. Once that is done you can graph the expression. Afterwards if you want to know which points to select you need to determine which area is shaded in, by doing this you enter coordinates such as (0,0) into the original equation, if the expression is false then you shade the false side. (Placing false and true depends which side of 0,0 is placed on.)
Down below I have displayed the inequality being solved, and how it looks like on a graph.
