Graphing Linear Inequalities

y<-1

(0,-1)

x≥3

(3,0)

x-2y<4 *Another way solving

Steps to solve in another way: 1. Subtract x from x and 4. 2. Divide -2 from y on both sides of the equation. 3. You get y>1/2x-2 as your answer. 4. Graph and shade the inequality.

x-2y<4 *One way solving

Steps to solve in one way: 1. Write out (0, ) & ( ,0). 2. Cover x and divide by 4 in the equation. 3. Plug in the answer (0, )--->(0,-2). 4. Cover y and divide by 4 in the equation. 5. Plug in the answer ( ,0)--->(4,0). 6. Graph these two points. 7. Before shading the graph, test by plugging in zero to the equation. 8. If you get 0<4, then it is a true statement. 9. Shade in the side of zero on the graph.

y> or ≥

Which way to shade on the graph: Shade above or right

y< or ≤

Which way to shade on the graph: Shade below or left