Mini-Lecture 4.5: Graphing Linear Inequalities | Montgomery College - Edubirdie

University:
Montgomery College
Course:
MATH 130: Elements of Mathematics I: Mathematical Reasoning and Number Systems
Academic year:

2023
Views:

322

Pages:

1
Author:

Trevon Bernard

Mini-Lecture 4.5 Graphing Linear Inequalities Learning Objectives: 1. Graph a linear inequality in two variables. Examples: 1. Determine whether the ordered pairs given are solutions of the linear inequality in two variables. a) x − y > −2; ( 0, − 1) , (1, 4 ) c) x > − y ; ( 0, 0 ) , ( 3, − 2 ) b) 2x + 4y ≥ 6; ( 4, − 1) , ( −3, 3) d) 1 y > x − 1 ; ( 0, 0 ) , ( −3, − 1) 3 Graph each inequality. e) x + y ≥ 2 1 f) y < − x 5 h) 2x + y ≤ −5 i) k) y ≥ 2 l) x < 5 −2x − 3y < 6 g) x − y > −3 j) x > y m) y ≥ 0 Teaching Notes: • • • • • • Most students who are good at graphing equalities will find this section easy. Although many students do not understand the region they are testing in problems 1a) – 1d), most need practice in testing before they begin graphing inequalities. Remind students to always use a test point from their proposed solution region to check their work. Remind students that the boundary line is dashed for < or > and solid for < or > . Refer students to the gray instruction block: To Graph a Linear Inequality in Two Variables. Each section in the text has 3 worksheets in the Extra Practice featuring differentiated learning. Answers: 1a) yes, no; 1b) no, yes; 1c) no, yes; 1d) yes, yes; 1e) – 1m) see mini-lecture graphing answers.

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