Download presentation

Presentation is loading. Please wait.

Published byJulianna French Modified over 9 years ago

1
Graphing Inequalities of Two Variables Recall… Solving inequalities of 1 variable: x + 4 ≥ 6 x ≥ 2 [all points greater than or equal to 2] Different from x + 4 = 6 x = 2 [only 1 solution] Likewise, inequalities w/ 2 variables have more than 1 solution…

2
Graphing Inequalities of Two Variables (1) Graph of linear equation separates coordinate plane into 3 parts: - Points on one side of the line - Points on boundary line (dashed for ˂ or ˃, solid line for ≥ or ≤). - Points on other side of the line (2) When the equality symbol is replaced w/ an inequality symbol, the statement becomes a linear inequality. Any ordered pair that makes the linear inequality true is a solution. (3) To graph linear inequalities: (A) Graph boundary line (determine whether line is dashed or solid based on inequality symbol). (B) Choose any point not on line, and substitute x- & y- values in linear inequality to see if the ordered pair is a solution. (C) If ordered pair is a solution, shade that side of the boundary line; if not, shade other side (verify w/ another ordered pair).

3
Graphing Inequalities of Two Variables Example Problems: p. 570, ex. 5, 6, 7, 14, 15, 17

4
Graphing Inequalities of Two Variables Think & Discuss (1)Compare the uses of an open circle, a closed circle, a dashed line, and a solid line when graphing inequalities. (2)Explain how you can tell if a point on the line is a solution of the inequality. (3)Name a linear equation for which the graph is a horizontal dashed line and all points below it. HW: p. 570-571 – ex. 16, 18, 20-28

Similar presentations

© 2024 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google