Download presentation

Presentation is loading. Please wait.

Published byBernadette Byrd Modified over 7 years ago

1
GRAPH LINEAR INEQUALITIES IN TWO VARIABLES January 22, 2014 Pages 405-408

2
SOLUTION Which ordered pair is not a solution of x – 3y ≤ 6? A (0, 0) B (6, – 1) C (10, 3) D (– 1, 2) Check whether each ordered pair is a solution of the inequality. Test (0, 0): x – 3y ≤ 6 0 – 3(0) ≤ 6 Write inequality. Substitute 0 for x and 0 for y. Simplify. 0 ≤ 6

3
Test (6, – 1): x – 3y ≤ 6 6 – 3(– 1) ≤ 6 Substitute 6 for x and – 1 for y. Write inequality. Simplify. So, (0, 0) is a solution of x – 3y ≤ 6 but (6, – 1) is not a solution. ANSWER The correct answer is B. A B C D 9 ≤ 6

4
SOLUTION Tell whether the ordered pair is a solution of – x + 2y < 8. Check whether each ordered pair is a solution of the inequality. Test (0, 0 ) – x + 2y < 8. 0 + 2(0) < 8 Write inequality. Substitute 0 for x and 0 for y. Simplify. (0, 0) 0 < 8 ANSWER So, (0, 0) is a solution of – x + 2y < 8.

5
Graph the inequality y > 4x – 3. SOLUTION Graph the equation y = 4x – 3. The inequality is >, so use a dashed line. STEP 1 STEP 2 0 > 4(0) – 3 ? Test (0, 0) in y > 4x – 3. 0 >–3 Shade the half-plane that contains (0, 0), because (0, 0) is a solution of the inequality. STEP 3

6
Graph the inequality x + 2y ≤ 0 SOLUTION STEP 1 Graph the equation x + 2y = 0. The inequality is <, so use a solid line. STEP 2 Test (1, 0) in x + 2y ≤ 01 1 + 2(0) ≤ 0 ? Shade the half-plane that does not contain (1, 0), because (1, 0) is not a solution of the inequality. STEP 3

7
Graph the inequality x + 3y ≥ –1 SOLUTION STEP 1 Graph the equation x + 3y = –1. The inequality is <, so use a solid line. STEP 2 Test (1, 0) in x + 3y ≥ –1 1 + 3(0) ≥ –1 ? 1

8
STEP 3 Shade the half-plane that contain (1, 0), because (1, 0) is a solution of the inequality.

9
HOMEWORK WORKSHEET P 6.7

Similar presentations

© 2022 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