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7.06 Systems of inequalities

Interactive practice questions

Order the steps for graphing the inequality $y+7x\ge5$y+7x5.

# Step
$\editable{}$ $\text{Replace the inequality symbol }\text{with '=' and graph the linear equation.}$Replace the inequality symbol with '=' and graph the linear equation.
$\editable{}$ $\text{If a true statement results shade the }\text{half plane containing the test point. }\text{If not, shade the other half plane. }$If a true statement results shade the half plane containing the test point. If not, shade the other half plane.
$\editable{}$ $\text{Choose a test point from one of }\text{the half-planes and not from the }\text{line. Substitute its coordinates }\text{into the inequality.}$Choose a test point from one of the half-planes and not from the line. Substitute its coordinates into the inequality.
Easy
< 1min

Which of the following inequalities are represented using a solid line on a graph? Select all that apply.

Easy
< 1min

Which of the following inequalities are represented using a dashed line on a graph? Select all that apply.

Easy
< 1min
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Outcomes

I.A.CED.3

Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context. 'Linear and exponential (integer inputs only)

I.A.REI.12

Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.

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