This week in precalculus 11, we learned how to graph inequalities in 2 variables. When graphing linear inequalities in 2 variables, you need a boundary line and you need to shade one side of the line.

Make sure you know that greater than (>) and less than (<) uses a dotted/broken boundary line and greater than or equal to (≥) and less than or equal to (≤) uses a solid boundary line.

When trying to solve an inequality in 2 variables, you have to isolate y.

Ex.

4x – 2y ≤ -6

-2y ≤ -4x – 6

 ≤ 

*When dividing by a negative, you have to flip the sign.

y ≥ 2x + 3

Once y is isolated and you have the slope and y-intercept, you can sketch the graph.