Solving Linear Systems of Inequalities

Graph Single Inequalities

Graph a System of Inequalities

Identifying Solutions to Systems

Writing Systems

Students will be able to:

·         Graph a single inequality in point-form, slope-intercept form, or standard form.

·         Determine if points on the boundary line should be included in the solution set (solid) or not included in the solution set (dashed)

·         Determine on which side of the boundary line does the solution set fall and show this by shading that side.

·         Match graphed inequalities with their corresponding algebraic inequality.

Students will be able to:

·         Use the skills from the first category to graph multiple linear inequalities on the same coordinate plane to determine where the overlapping solution set lies.

·         Interpret a graph where the full shading of each separate inequality is shown AND interpret a graph where only final overlapping solution set is shown.

·         Match graphed systems of inequalities with their corresponding algebraic systems of inequalities. 

Students will be able to:

·         Determine if an ordered pair is in the solution set of a system using only the algebraic inequalities.

·         Determine if an ordered pair is in the solution set of a system using only the graph of the inequalities.

·         Determine if an ordered pair is in the solution set of a system using either the graph of the inequalities OR the algebraic inequalities.

Students will be able to:

·         Write inequalities from a graph where only final overlapping solution set is shown.

·         Write inequalities from a graph where the full shading of each separate inequality is shown.