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3.04 Systems of linear inequalities

Adaptive
Worksheet

Interactive practice questions

Sketch a graph of the system of inequalities $x$x$\le$$3$3 and $y$y$\le$$-1$1.

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Easy
< 1min

Sketch a graph of the system of inequalities $2x+3y$2x+3y$>$>$6$6 and $3x-2y$3x2y$<$<$12$12.

Easy
< 1min

Sketch a graph of the system of inequalities $3y-2x$3y2x$\le$$6$6 and $2x-3y$2x3y$\le$$12$12.

Easy
< 1min

The solution to the system of inequalities $y<2x+3$y<2x+3 and $y\le\frac{1}{3}x-4$y13x4 is shown in the graph below.

Medium
< 1min
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Outcomes

M1.A.CED.A.3

Create individual and systems of equations and/or inequalities to represent constraints in a contextual situation, and interpret solutions as viable or non-viable.*

M1.A.REI.D.6

Graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.

M1.MP1

Make sense of problems and persevere in solving them.

M1.MP2

Reason abstractly and quantitatively.

M1.MP3

Construct viable arguments and critique the reasoning of others.

M1.MP4

Model with mathematics.

M1.MP5

Use appropriate tools strategically.

M1.MP6

Attend to precision.

M1.MP7

Look for and make use of structure.

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