Exploring Systems of Inequalities

What does the inequality symbol '<' represent?

• Equal to

• Less than

• Greater than

• Greater than or equal to

In the graphing example, what type of line is used when the inequality is 'greater than'?

• Dotted line

• Solid line

• No line

• Dashed line

What does the solution region represent in a system of inequalities?

• Area outside the lines

• Intersection area of shaded regions

• Area above the solid line

• Area below the dashed line

Which point is a solution in the first example: (1, 3), (2, -1), (0, -3)?

• (1, 3) and (2, -1)

• All of the above

• (1, 3) and (0, -3)

• (2, -1) and (0, -3)

In the context of inequalities, what does a solid line indicate compared to a dashed line?

• Greater than or equal to

• Less than

• Less than or equal to

• Greater than

What is the slope of the second line in the second example?

• 2/3

• -1/5

• 1/5

• 3/4

In the case of parallel lines with no intersection, what can be said about the solution?

• Cannot be determined

• There is no solution

• There are multiple solutions

• There is one solution

What is the y-intercept of the first inequality in the third example?

• 4

• 3

• -2

• 2

What changes in the scenario where parallel lines have the same inequality direction?

• No solution exists

• Only one solution exists

• Multiple solutions exist

• The lines intersect

Which point does not satisfy any of the inequalities in the last example?

• (0, 5)

• (3, 3)

• (0, 0)

• (-4, -1)