1. Lesson 5.1 – Solving Inequalities by Addition and Subtraction

5. Lesson 5.1 – Solving Inequalities by Addition and Subtraction

16. Tonight’s Homework:
Practice and Problem Solving exercises & 30-33, on page 288.

17. Lesson 5.1 – Homework Review Exercises 12-20 & 30-33, on page 288

20. Lesson 5.2 – Solving Inequalities by Multiplication and Division

27. Lesson 5.2 – Solving Inequalities by Multiplication and Division

39. Tonight’s Homework:
Practice and Problem Solving exercises 10-20, on page 295.

40. Lesson 5.2 – Homework Review Exercises 10-20, on page 295

41. Lesson 5.3 – Solving Multi-Step Inequalities

44. Lesson 5.3 – Solving Multi-Step Inequalities

60. Tonight’s Homework
Practice and Problem Solving exercises 12-17, 22-23, and 44-47, on pages

61. Lesson 5.3 – Homework Review Exercises 12-17, 22-23, & 44-47, on pages 301-302

62. Lesson 5.4 – Solving Compound Inequalities

65. Lesson 5.4 – Solving Compound Inequalities

75. Tonight’s Homework:
Practice and Problem Solving exercises 18-27, on page 309.

76. Lesson 5.4 – Homework Review Exercises 18-27, on page 309

77. Lesson 5.5 – Inequalities Involving Absolute Value

83. Lesson 5.5 – Inequalities Involving Absolute Value

84. 𝒙 <𝒏 𝐨𝐫 |𝒙|≤𝒏
𝑦=|𝑥|
𝑦= 𝑥
𝒙 ≤𝟒
−𝟒≤𝒙≤𝟒

85. |𝒔−𝟑|≤𝟏𝟐
𝒚=|𝒙−𝟑|
|𝒙−𝟑|≤𝟏𝟐
−𝟗 ≤ 𝒙 ≤ 𝟏𝟓

86. −(𝑠−3)≤12 𝑠−3≥−12 𝑠≥−9 +(𝑠−3)≤12 𝑠−3≤12 𝑠≤15 Case 1: |𝒔| is negative
Case 2: |𝒔| is positive
+(𝑠−3)≤12
𝑠−3≤12
𝑠≤15

93. 𝒙 >𝒏 𝐨𝐫 |𝒙|≥𝒏
|𝑥|
𝒙 ≥𝟒
𝑦=|𝑥|
𝑦= 𝑥 𝑥
−𝟒≤𝒙 𝐨𝐫 𝒙≥𝟒

94. 𝒙 <𝒓 𝐯𝐞𝐫𝐬𝐮𝐬 𝒙 >𝒓 r |x| > r |x| < r |x| < r |x| > r
𝒙 <𝒓 𝐯𝐞𝐫𝐬𝐮𝐬 𝒙 >𝒓 r
|x| > r
|x| < r
|x| < r
|x| > r or
and or

99. Tonight’s Homework:
Practice and Problem Solving exercises 8-13 and 21-24, on page 314.

100. Lesson 5.5 – Homework Review Exercises 8-13 and 21-24, on page 314

102. Lesson 5.6 – Graphing Inequalities in Two Variables

111. Let 𝑥=chicken and 𝑦=tuna
3𝑥+1.5𝑦≤30
1.5𝑦≤−3𝑥+30
𝑦≤−2𝑥+20
Let 𝑥=chicken and 𝑦=tuna

112. Chicken
Tuna

113. How To Graph Inequalities in Two Variables
Get the slope/intercept form of the equation, 𝑦=𝑚𝑥+𝑏
Mark 2 points: 𝑦-intercept then 2nd point
Draw the line:
DASHED for < or > (open boundary)
SOLID for  or  (closed boundary)
Shade the region (half-plane):
ABOVE for > or 
BELOW for < or 

114. Lesson 5.6 – Graphing Inequalities in Two Variables

115.   𝒚>𝟐𝒙+𝟑 Put in slope/intercept form Mark the y-intercept
Mark a 2nd point (slope)
Draw the line: DASHED for < or > SOLID for  or 
Shade the region ABOVE for > or 
BELOW for < or  

116. 𝒚<𝟑𝒙+𝟐  
Shade below
the y-intercept

122. Tonight’s Homework
Complete the Lesson Graphing Two- Variable Inequalities Handout

123. Lesson 5.6 – Homework Review