Linear Inequalities In Two Variables

Choose the correct inequality for the graph that shows a dashed line above y = -2.

• y < -2

• y = -2

• y > -2

• y ≥ -2

The inequality, x < 2, will make what type of line?

• Solid, vertical line.

• Dashed, vertical line.

• Solid, horizontal line.

• Dashed, horizontal line.

What type of line is used for the inequality x ≤ 4?

• Solid vertical line at x = 4.

• Dashed vertical line at x = 4.

• Solid horizontal line at y = 4.

• Dashed horizontal line at y = 4.

What does the symbol < mean in an inequality?

• It means 'greater than'.

• It means 'equal to'.

• It means 'less than'.

• It means 'not equal to'.

Choose the correct inequality for the graph that shows a dashed line above the line y = 2x - 3.

• y < 2x - 3.

• y > 2x - 3.

• y ≤ 2x - 3.

• y ≥ 2x - 3.

How do you represent the inequality y ≤ 3 on a graph?

• Draw a solid horizontal line at y = 3 and shade below.

• Draw a dashed horizontal line at y = 3 and shade above.

• Draw a solid horizontal line at y = 3 and shade above.

• Draw a vertical line at x = 3 and shade to the left.

What is the solution set for the inequality x > 1?

• All values of x greater than 1.

• All values of x less than 1.

• All values of x equal to 1.

• All values of x greater than or equal to 1.

How do you express the solution for the inequality y > -x + 2?

• Shade below the line y = -x + 2.

• Shade above the line y = -x + 2.

• Draw a dashed line for y = -x + 2 and shade below.

• Draw a solid line for y = -x + 2 and shade above.

What does a solid line indicate in a graph of an inequality?

• The points on the line are included in the solution.

• The points on the line are excluded from the solution.

• The line represents a boundary that cannot be crossed.

• The line indicates a constant value for the inequality.

What is the difference between the inequalities y ≥ 2 and y > 2?

• y ≥ 2 includes the line y = 2, while y > 2 does not.

• y > 2 includes the line y = 2, while y ≥ 2 does not.

• Both inequalities represent the same set of values.

• y ≥ 2 is a strict inequality, while y > 2 is not.