This week in pre-calc 11, we briefly went over inequalities and systems in one lesson. By inequalities, I’m referring to the relationship between two expressions. I like to think about the inequality signs as alligator mouths, they eat whichever number or expression is the biggest.

example: x>7 — x is bigger than 7 that’s why it is getting eaten. X could be any number that is above 7

example: 78 x —– x is bigger than or equal to 78.

• during graphing or on number lines if there is a dash line, it means the inequality sign does not have the small line under it

• if there is a solid line, it means that the small line is on the inequality sign.

Graphing inequalities :

• When the expression is given to us, we move everything to one side and make sure to isolate y. what we are left with is our slope and y-intercept.

• graph the expression
• the inequality sign tells you which side of the line to shade, to figure this out take point (0,0) substitute into the inequality and simplify. If the inequality is false we shade the part that doesn’t contain the point.  if it is true we do shade the point.