This week in Pre-Calc 11 we learned about finding the solutions to an inequality. This is fairly easy to understand as it is only plugging in a point on a graph (usually 0,0). To make sure it is true you plug in a 0 for x and y to see if the solutions are true.
For example we’ll use the inequality y > 2x – 1.
So, we see on this graph the line goes through y at -1.
So, we plug in (0,0) to figure out if the solution is true.
So, 0 > 2(0) -1
0 > -1
We all know that 0 is greater than -1 making the solution true.
Since (0,0) is a true solution we shade that side.
if it wasn’t a solution it would be on the other side.
Week 11 – Solutions of an Inequality