Exploring System of Inequalities

What is a system of inequalities?

• A group of inequalities with different variables

• A group of equations with the same variables

• A group of inequalities with the same variables

• A single inequality with two variables

What does a solution of a system of inequalities represent?

• A line that intersects all inequalities

• A group of ordered pairs that satisfy all inequalities in the system

• A single point that satisfies one inequality

• A single ordered pair that satisfies one inequality

What is the solution area in a graph of a system of inequalities?

• The area where the boundary lines intersect

• The area above the boundary line

• The area where the ordered pairs do not satisfy any inequality

• The shaded area representing all possible solutions

How do you graph the inequality x + y ≤ 10?

• By plotting a dotted line and shading below it

• By plotting a solid line and shading below it

• By plotting a dotted line and shading above it

• By plotting a solid line and shading above it

Which of the following ordered pairs is a solution to the inequality x + y ≤ 10?

• (4, 5)

• (5, 6)

• (8, 3)

• (3, 7)

What is the inequality for the sum of two numbers being greater than 3?

• x + y > 3

• x + y ≤ 3

• x + y = 3

• x + y < 3

How do you graph the inequality x + y > 3?

• By plotting a dotted line and shading below it

• By plotting a solid line and shading above it

• By plotting a dotted line and shading above it

• By plotting a solid line and shading below it

Which of the following ordered pairs is a solution to the inequality x + y > 3?

• (0, 3)

• (1, 4)

• (2, 1)

• (1, 1)

What is a system of inequalities?

• Two or more inequalities combined together

• A single equation with two variables

• A single inequality with two variables

• A group of equations with the same variables

Where is the solution area for a system of inequalities found?

• Where the boundary lines intersect

• Where the shaded areas of the inequalities overlap

• Where the ordered pairs do not satisfy any inequality

• Where the boundary lines do not intersect