Graphing Linear Inequalities

Which graph correctly represents the inequality y > -x?

• A) [Graph with a solid blue line y = -x and the region above the line shaded]

• B) [Graph with a solid blue line y = -x and the region below the line shaded]

• C) [Graph with a dashed blue line y = -x and the region below the line shaded]

• D) [Graph with a dashed blue line y = -x and the region above the line shaded]

Which graph correctly represents the inequality y > (3/2)x - 2?

• A) [Graph with a dashed blue line y = (3/2)x - 2 and the region below the line shaded]

• B) [Graph with a dashed blue line y = (3/2)x - 2 and the region above the line shaded]

• C) [Graph with a solid blue line y = (3/2)x - 2 and the region below the line shaded]

• D) [Graph with a solid blue line y = (3/2)x - 2 and the region above the line shaded]

Which graph represents the solution to the inequality y > (4/3)x?

• A) [Graph with a dashed blue line passing through the origin and shading above the line]

• B) [Graph with a solid blue line and shading above the line]

• C) [Graph with a solid blue line and shading below the line]

• D) [Graph with a solid blue line and shading below the line]

Which graph represents the solution to the inequality y < -9/4x - 5?

• A) [Graph A]

• B) [Graph B]

• C) [Graph C]

• D) [Graph D]

Which graph represents the inequality x < -1?

• A) [Graph with a horizontal dashed line at y = -1, shading below]

• B) [Graph with a vertical dashed line at x = -1, shading to the left]

• C) [Graph with a horizontal dashed line at y = -1, shading above]

• D) [Graph with a vertical dashed line at x = -1, shading to the right]

Which graph represents the inequality y > x + 2?

• A) [Graph with a dashed line y = x + 2, shading above]

• B) [Graph with a dashed line y = x + 2, shading below]

• C) [Graph with a solid line y = x + 2, shading above]

• D) [Graph with a dashed line y = -x + 2, shading above]

Which graph represents the inequality y > -7x - 2?

• A) [Graph A: Dashed line with positive slope, shaded to the right]

• B) [Graph B: Dashed line with negative slope, shaded below]

• C) [Graph C: Dashed line with negative slope, shaded above]

• D) [Graph D: Dashed line with positive slope, shaded to the left]

Sketch the graph of each linear inequality. 2) y < -5x + 5

• A) [Image of a line with negative slope and shading below the line]

• B) [Image of a line with negative slope and shading above the line]

• C) [Image of a line with positive slope and shading below the line]

• D) [Image of a line with positive slope and shading above the line]

Which graph represents the solution to the inequality y > -x?

• A) [Graph with shaded region above the line y = -x]

• B) [Graph with shaded region below the line y = -x]

• C) [Graph with shaded region above the line y = -x, but with a different orientation]

• D) [Graph with shaded region below the line y = -x, but with a different orientation]

Which graph represents the solution to the inequality y > (3/2)x - 2?

• A) [Graph with shaded region above the line y = (3/2)x - 2]

• B) [Graph with shaded region below the line y = (3/2)x - 2]

• C) [Graph with shaded region above the line y = (3/2)x - 2, but with a different orientation]

• D) [Graph with shaded region below the line y = (3/2)x - 2]