1. Inequalities and Graphing Chapter 7.4 Pages 345-349

2. Graph -6 -4 -2 0 +2 +4 +6

3. Graph’s Solution -6 -4 -2 0 +2 +4 +6

7. equation solutions. Now is where the fun begins. The x and y values of MANY points will make our equation correct. Actually, an infinite number of points will make our inequality correct.

8. Do the origin values make the equation correct? We use 2x + 3y < 6 Next: fill in (0,0) for x and y into the original equation. Is 2(0) + 3(0) < 6? 0+0 < 6

9. The origin is ONE coordinate from the many that work. If 2x + 3y < 6 Next: fill in another value on the same side as (0,0) Let’s pick (-1, -2) Is 2(-1) + 3(-2) < 6? -2 + -6 < 6

10. Many coordinates work. So we can graph them. If 2x + 3y < 6 All these values will work. We can show this by using shading or slanted lines. The dotted lines show that any point on the line makes the equation equal. And NOT part of this equation.

11. NOT a solution. We found 2x + 3y < 6 Use (3,0) 2(3) + 3(0) < 6 6+0 is NOT < 6 Graph everything down and to the left of the dashed line instead of graphing every point.

16. Assignment pg. 351: 17 - 31 odds (Stay Tuned for part 2)

17. Graphing Inequalities Part Two

23. Graph the inequalities Subtract x from both sides. z < -x + 3 Add x to both sides. z < +x + 3

24. Graph the inequalities Graph as if z is y. z < -1x + 3 Add x to both sides. z < +1x + 3 Fill in the values of the origin into both equations and shade. 0 + 0 < + 3 0 - 0 > + 3

25. Graph the inequalities 0 + 0 < + 3? yes 0 - 0 > + 3? No The solutions are found where the shading overlaps.

27. extras

28. Graphing