topic badge

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.

Loading Graph...
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
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

Outcomes

MA.912.AR.2.7

Write two-variable linear inequalities to represent relationships between quantities from a graph or a written description within a mathematical or real-world context.

MA.912.AR.2.8

Given a mathematical or real-world context, graph the solution set to a two-variable linear inequality.

MA.912.AR.9.4

Graph the solution set of a system of two-variable linear inequalities.

MA.912.AR.9.6

Given a real-world context, represent constraints as systems of linear equations or inequalities. Interpret solutions to problems as viable or non-viable options.

What is Mathspace

About Mathspace