Q4. - Algebra 2

Question

Graph each inequality.

 $y<2$

Step-by-Step Solution

Answer

Hence the graph of $y<2$ 

Step-1 &ndash;Concept of graphing the inequality

The graph of a linear inequality in two variable (say, $x$ and $y$), first get $y$ alone on one side. Then consider the rotated equation obtained by changing the inequality sign to an equality sign. The graph of this equation is a Line. If the inequality is strict $<or>$, graph dashed line. If the inequality is not strict $\le or\ge$, graph a solid line.

Finally, pick one point that is not a either line $(0,0)$ is usually the easiest and decide whether these co-ordinate satisfy the inequality or not. If they do, shade the half-plane containing that point. If they don’t shade the other half plane.

Step-2 &ndash;Example of graphing the inequality

Let a inequality $y\le x-2$. Now put $(0,0)$ in $y\le x-2$ which implies $0\le -2$, hence the inequality is not satisfied for the graph of $y\le x-2$

Step-3 &ndash;Graph the inequality

Hence the graph of $y<2$