Lesson 5.1 – Solving Inequalities by Addition and Subtraction

Lesson 5.1 – Solving Inequalities by Addition and Subtraction

Tonight’s Homework: Practice and Problem Solving exercises 12-20 & 30-33, on page 288.

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

Lesson 5.2 – Solving Inequalities by Multiplication and Division

Lesson 5.2 – Solving Inequalities by Multiplication and Division

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

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

Lesson 5.3 – Solving Multi-Step Inequalities

Lesson 5.3 – Solving Multi-Step Inequalities

Tonight’s Homework Practice and Problem Solving exercises 12-17, 22-23, and 44-47, on pages 301-302.

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

Lesson 5.4 – Solving Compound Inequalities

Lesson 5.4 – Solving Compound Inequalities

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

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

Lesson 5.5 – Inequalities Involving Absolute Value

Lesson 5.5 – Inequalities Involving Absolute Value

𝒙 <𝒏 𝐨𝐫 |𝒙|≤𝒏 𝑦=|𝑥| 𝑦= 𝑥 𝒙 ≤𝟒 −𝟒≤𝒙≤𝟒

|𝒔−𝟑|≤𝟏𝟐 𝒚=|𝒙−𝟑| |𝒙−𝟑|≤𝟏𝟐 −𝟗 ≤ 𝒙 ≤ 𝟏𝟓

−(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

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

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

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

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

Lesson 5.6 – Graphing Inequalities in Two Variables

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

Chicken Tuna

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 

Lesson 5.6 – Graphing Inequalities in Two Variables

  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  

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

Tonight’s Homework Complete the Lesson 5.6 - Graphing Two- Variable Inequalities Handout

Lesson 5.6 – Homework Review