Graphing Inequalities (two-variables)

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What is an inequality in two variables?

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An inequality in two variables is a mathematical statement that compares two expressions using inequality symbols (like <, >, ≤, ≥) and involves two variables, typically x and y.

Tags

CCSS.HSA.REI.D.12

Front

What does the symbol '≤' represent in an inequality?

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The symbol '≤' means 'less than or equal to'. It indicates that the value on the left is either less than or equal to the value on the right.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '≥' represent in an inequality?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left is either greater than or equal to the value on the right.

Tags

CCSS.6.EE.B.8

Front

Back

Tags

CCSS.HSA.REI.D.12

Front

Back

Tags

CCSS.HSA.REI.D.12

Front

What is the difference between a solid line and a dashed line in graphing inequalities?

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A solid line indicates that points on the line are included in the solution (for inequalities like ≤ or ≥), while a dashed line indicates that points on the line are not included (for inequalities like < or >).

Tags

CCSS.HSA.REI.D.12

Front

Back

Tags

CCSS.HSA.REI.D.12

Front

Back

Tags

CCSS.HSA.REI.D.12

Front

How do you determine which side of the line to shade for an inequality?

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To determine which side of the line to shade for an inequality, you can test a point not on the line (like (0,0)). If the point satisfies the inequality, shade the side of the line that includes that point; if not, shade the opposite side.

Tags

CCSS.HSA.REI.D.12

Front

What is the slope-intercept form of a linear equation?

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CCSS.8.F.A.3

CCSS.8.EE.B.6