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A.REI.D.12: Graphing Systems of Linear Inequalities 1 www.jmap.org 4 9 Given: 3y−9 ≤12 y<−2x−4 Graph the system of inequalities on the set of axes below. State the coordinates of a point that satisfies both inequalities. Justify your answer.
To sketch a graph of a linear inequality, follow these simple steps. 1. Sketch the graph of the corresponding Linear equation using a dashed line for < or > and a solid tine for or ž. Thus, separating the coordinate plane into two half planes. 2. Pick a point in each of the half planes and test each to find which one is a solution to
13) State one solution to the system y < 2x − 1 y ≥ 10 − x Many solutions. Ex: (10 , 10) or (5, 8) 14) Write a system of inequalities whose solution is the set of all points in quadrant I not including the axes. x > 0, y > 0-3-Create your own worksheets like this one with Infinite Algebra 2. Free trial available at KutaSoftware.com
Each bowtie costs $2, and each pocket-‐protector costs $1. He wants to buy at least 15 items with this card, with at least 2 bowties and 5 pocket protectors. Let's define some variables and set up a system of inequalities that represents this scenario. a.
Steps for Graphing Linear Inequalities and a System of Linear Inequalities. 1.) Solve each inequality for y. DON’T FORGET: Flip the sign if you multiply or divide by a negative number! 2.) Graph each line. > < _________ line. ≥ ≤ _________ line. 3.)
Solve the system of inequalities by graphing. Shade the solution area. 2X-3 ; yÈ-3 y 2x ; x < 3 MATH MONKS . Graphing Systems of Linear Inequalities Answers MATH MONKS 8x-4y>1 y 2x ; x < 3 2X-3 ; yÈ-3 3 ; 3x- 4 W] Created Date:
Use the Shade feature of a graphing calculator to graph the system of linear inequalities below. Sketch the graph on your paper. x 2. x 2. 8.
