1. Warm Up
10/29/18
Write an equation in slope-intercept form which passes through (5, 4) and is parallel to y + 8 = -3(x - 4).

2. Solving Inequalities by Addition and Subtraction
Ch. 5-1
Solving Inequalities by
Addition and Subtraction

3. Inequalities < less than ≥ greater than or equal to
≤ less than or equal to

4. 𝑥>3
𝑥≤10
10<𝑥
−5≥𝑥

5. ӿ Practice Solve x – 12 ≥ 8. Check your solution. +12 +12

6. YOU TRY! CHECK YOUR WORK! 2) Solve m + 19 > 56.

7. YOU TRY! CHECK YOUR WORK! 2) Solve m + 19 > 56.

8. When graphing inequalities on a number line.
≤𝑎𝑛𝑑 ≥𝑚𝑒𝑎𝑛𝑠 𝑡𝑜 𝑔𝑟𝑎𝑝ℎ 𝑎 𝑐𝑙𝑜𝑠𝑒𝑑 𝑐𝑖𝑟𝑐𝑙𝑒.
Ex: 𝑥≥3
<𝑎𝑛𝑑>𝑚𝑒𝑎𝑛𝑠 𝑡𝑜 𝑔𝑟𝑎𝑝ℎ 𝑎 𝑜𝑝𝑒𝑛 𝑐𝑖𝑟𝑐𝑙𝑒.
EX: x<3

9. Ex: 𝑥≤1

10. Ex: 1<𝑥

11. Ex: 𝑥≥5
Ex: x<−1
Ex: 3≥𝑥

12. Ex:𝑥≤−4
Ex: −1<𝑥
Ex: 𝑥≥3

13. ӿ Practice 3) Solve 4a≥𝟑𝒂+𝟔. Then graph the solution
-3a -3a set on a number line.

14. ӿ Classwork – p.288 #1-8; 12-29
34. Keisha is babysitting at $8 per hour to earn money for a car. So far she has saved $1300. The car that Keisha wants to buy costs at least $5440. How much money does Keisha still need to earn to buy the car?

15. Warm Up
10/30/18
1. Felipe needs for the temperature of his leopard gecko’s baking spot to be at least 82 degrees. Currently the baking spot is 62.5 degrees. How much warmer does the baking spot need to be?
2. Solve the inequality equation, and graph.
12>13+𝑥

16. Solving Inequalities by Multiplication and Division
Ch. 5-2
Solving Inequalities by
Multiplication and Division

17. Solving Inequalities by Multiplying 4 > 2 4(3) > 2(3) 12 > 6
4 > 2
4(3) > 2(3)
12 > 6
If you multiply each side of an inequality by a positive number then the inequality remains true.
7 < 9
7(-2) < 9(-2)
-14 < -18
-14 > -18
If you multiply each side of an inequality by a negative number, the inequality symbol changes direction.

18. ӿ Practice Solve − 𝟑 𝟕 𝒓<𝟐𝟏 Graph the solution set on a number line

19. Solving Inequalities by Dividing −25 < −20 −25 5 < −20 5
−25 < −20
− < −20 5
-5 < -4
If you divide each side of an inequality by a positive number then the inequality remains true.
15 < 18
15 −3 < −3
-5 < -6
-5 > -6
If you divide each side of an inequality by a negative number, the inequality symbol changes direction.

20. ӿ Practice Solve 8𝒕>𝟏𝟔 Graph the solution set on a number line

21. ӿ Practice Solve −𝟑𝒅>𝟏𝟓 Graph the solution set on a number line

22. Classwork solve, and graph each problem.
1.− 1 2 𝑎< −11> 1 11 𝑐 − 3 4 𝑗≥12
4. −6𝑣>− >−2𝑦 −2𝑑≤5

23. Warm Up 11/1/18 Solve and Graph 32≻−2𝑦 2. Solve for x. 1 5 5𝑥−25 =−7
1 5 5𝑥−25 =−7
3. Solve for x.
2𝑥+13 3 =5

24. Solving Multi-Step Inequalities
Ch. 5-3
Solving Multi-Step Inequalities

25. ӿ Practice
Solve −𝟏𝟏𝒚−𝟏𝟑>𝟒𝟐. Graph the solution set on a number line
-11y > 55

26. ӿ Practice
Solve −𝟏𝟏𝒚−𝟏𝟑>𝟒𝟐. Graph the solution set on a number line
-11y > 55

27. ӿ Practice
Solve 4 𝟑𝒕−𝟓 +𝟕≥𝟖𝒕+𝟑. Graph the solution set on a number line
𝟏𝟐𝒕−𝟐𝟎+𝟕≥𝟖𝒕+𝟑
𝟏𝟐𝒕−𝟏𝟑≥𝟖𝒕+𝟑
+𝟏𝟑≥ +𝟏𝟑
𝟏𝟐𝒕 ≥𝟖𝒕+𝟏𝟔
−𝟖𝒕 ≥−𝟖𝒕
𝟒𝒕 ≥𝟏𝟔
𝒕 ≥𝟒

28. ӿ Practice
Solve 𝒘 𝟖 −𝟏𝟑>−𝟔. Graph the solution set on a number line

29. Warm Up Solve for x. Simplify Simplify
11/5/18
Solve for x Simplify Simplify
1. 𝟑 𝟏𝟓 𝒙−𝟕=𝟓 𝟐𝒙+𝟑 −𝟒 =𝟓 𝟐 𝟒 − 𝟒 𝟓

30. Solving Multi-Step Inequalities Cont.
Ch. 5-3
Solving Multi-Step Inequalities
Cont.

31. ӿ Practice Solve 𝟗𝒕−𝟓(𝒕−𝟓)≤𝟒(𝒕−𝟑)
False Statement so therefore solution set is empty

32. ӿ Practice Solve 𝟑 𝟒𝒎+𝟔 ≤𝟒𝟐+𝟔(𝟐𝒎−𝟒)
True Statement so therefore solution is all real numbers

33. Solving Compound Inequalities
Ch. 5-4
Solving Compound Inequalities

34. Two inequalities (or more) joined together with
“and” or “or”
apart

37. together