4.2.2 – Graphing Linear Inequalities, Cont’d

Now, we know the basics of graphing inequalities Dashed vs. Solid Line Shading; above vs. below When can you choose solutions on the line?

Versions of Linear Equations, Recap Remember, the two basic versions of linear equations we dealt with were; 1) y = mx + b – y-intercept, slope 2) Ax + By = C – x and y intercepts ONLY

When graphing linear inequalities of the same form, we will find the two points we need in the same way In addition, the type of line and shading will be the same as from yesterday

Example. Graph the inequality y > 2x – 3 Two points? Type of line? Shading?

Example. Graph the inequality y – 3x ≤ 4 Two points? Type of line? Shading?

Example. Graph the inequality 4x + 4y < 16 Two points? Type of line? Shading?

Example. Graph the inequality 9x – 9y ≥ -36 Two points? Type of line? Shading?

Example. Graph the inequality -y < (1/2)x + 6 Two points? Type of line? Shading?

Applied Much in the same way we write equations, we can write inequalities to represent real-life scenarios Where would inequalities possibly be useful to us in real life?

Example. You are at a concert and have $80 to spend after arriving. Shirts cost $20.00 while hats costs $ Write an inequality in two variables to represent the number of hats and shirts you can purchase.

Example. Your iphone has a limited amount of space left to save photos and music. Each song you download is about 7.0MB, while each photo you have is around 3.0MB. If you have only 79MB left on your phone, write an inequality for the number of photos and songs you can download.

Assignment Pg , 44, 47, 53