Solve and Graph 2 x 3 9 Solve

Solve and Graph 2 x + 3 < 9 Solve a similar equation to find the dividing point. 2 x + 3 = 9 -3 -3 2 x = 6 2 2 This is the dividing point. Plot in on the number line. x=3 Test a point. -2 -1 0 1 2 x<3 3 Write the solution. 4 5 Test x = 0 2(0) + 3 < 9 0+3<9 True. Shade the side with 0.

Example: EQUATION 1. Write a similar _______. Replace < or > with =. 2. Solve for y. BOUNDARY This is your ______ 5 x – 2 y 8 + 3 x 5 x – 2 y = 8 + 3 x -5 x – 2 y = -2 x + 8 – 2 -2 -2 y = x - 4 _______. LINE y 6 3. Draw a graph. 4. Graph Boundary Line. • DASHED Line if < or > • SOLID Line if or . 4 2 -6 -4 -2 2 -2 -4 -6 4 6 x

5 x – 2 y 8 + 3 x 5. Test a point. Test: (0, 0) 5(0) – 2(0) 8 + 3(0) • Any point except points on dividing line. 0 8+0 0 8 FALSE! • Identify your test point. • Check in ORIGINAL problem. y • Show work when you substitute. • Write True or False. 6. Shade towards TRUTH. • Test Point TRUE: Shade SIDE w/ point. • Test Point FALSE: Shade OTHER SIDE. 7. Write solution in y form. • If below boundary line, then < or 6 4 2 False -6 -4 -2 2 -2 -4 -6 • If above boundary line, then > or y ≤ x – 4 4 6 x

Graph the inequality Boundary line: y Test point (0, 0) 5 4 3 2 1 y-int: (0, -3) True Shade the side with (0, 0). -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 1 2 3 4 5 x

Graph the inequality y 5 4 Boundary line: 3 Test point (0, 0) 2 1 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 y-int: (0, 1) False 1 2 3 4 5 x