Shading Regions Flashcards

< means 'less than', > means 'greater than', ≤ means 'less than or equal to', ≥ means 'greater than or equal to'.

Shade the region above the line y = x.

Shade the region below the line y = x.

Shade the region above or on the line y = x. Use a solid line to include the boundary.

Shade the region below or on the line y = x. Use a solid line to include the boundary.

A dashed line is used when the inequality is strict (< or >), meaning the boundary is not included.

A solid line is used when the inequality is inclusive (≤ or ≥), meaning the boundary is included.

Shade the regions for each inequality and identify the overlapping area that satisfies all conditions.

Substitute the coordinates of a point into the inequalities to check if it satisfies all conditions.

Clearly label the shaded region with 'R' or another identifier to show the solution area.