Download presentation

Presentation is loading. Please wait.

Published byArron Townsend Modified over 7 years ago

1
Essential Question: When graphing an inequality, how do you determine whether to include the boundary in the graph and which region to shade?

2
A linear equation contains two variables, like y = ½ x – 1 A linear inequality looks the same, except the equal sign is replaced with an inequality: or> Linear inequalities can ONLY be solved by graphing

3
To graph a linear inequality: 1) Solve for y (get y by itself) ▪ Make sure y is on the left 2) Plot the y-intercept 3) Use the slope to make a 2 nd point 4) Draw the line ▪ > or <: dotted line ▪ > or <: solid line (solid line underneath = use solid line) 5) Shade your solution area ▪ > or >: shade above your line ▪ < or <: shade below your line

4
Two examples 4x + 2y < 4 1) 2) y-intercept: 3) slope: 4) Solid/dotted line: 5) Shade up/shade down: -4x 2y < -4x + 4 2 2 2 y < -2x + 2 2 -2 (down 2, over 1) solid line (solid line underneath <) shade down (<: less than)

5
Two examples - 3 / 2 x – y > 1 1) 2) y-intercept: 3) slope: 4) Solid/dotted line: 5) Shade up/shade down: + 3 / 2 x -y > 3 / 2 x + 1 -1 -1 -1 y < - 3 / 2 x – 1 - 3 / 2 (down 3, over 2) dotted line (no line underneath <) shade down (<: less than) Divide by a negative? Flip the inequality

6
Assignment Page 102 Problems 1 – 9 & 23 – 24, all

Similar presentations

© 2023 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