This week in math, we learnt how to graph inequalities with two variables.

I’ve been noticing some clear similarities between one-variable and two-variable inequalities. For example:

Inequalities using “<” or “>” still use a dashed line on the graph, and there’s still a shaded region to represent the possible solutions. However, a big difference with two-variable inequalities is that the shaded area can cover more than one side of the graph. Also, while one-variable inequalities like x < 2  only require the x-value to meet the condition, two-variable inequalities like y < x^2 + 1 need both the x and y values of a coordinate to satisfy the inequality. These comparisons became clearer through the graphs we explored.