Intro to Solving System of Inequalities

What does the inequality 'y > -x + 2' represent in a graph?

• A solid line with shading above it

• A dashed line with shading below it

• A solid line with shading below it

• A dashed line with shading above it

Tags

AI-A.REI.12

What does a dashed line represent in the context of graphing inequalities?

• y is equal to

• y is less than

• y is greater than

• y is greater than or equal to

Tags

AI-A.REI.12

If an inequality has 'y is less than' as its condition, where should the graph be shaded?

• Nowhere

• On the line

• Below the line

• Above the line

Tags

AI-A.REI.12

What indicates the solution set in a system of inequalities?

• The non-overlapping sections of the graph

• The area outside the shaded regions

• The overlapping shaded region

• The area on the dashed lines only

Tags

AI-A.REI.12

What does 'x > -1' represent on a graph?

• A vertical dashed line with shading to the left

• A vertical dashed line with shading to the right

• A vertical solid line with shading to the right

• A horizontal dashed line with shading above

Tags

AI-A.REI.12

In the context of graphing systems of inequalities, what does a solid line indicate?

• The inequality is only valid at the boundary

• The inequality does not include values equal to the boundary

• The inequality is not valid at any point on the boundary

• The inequality includes values equal to the boundary

Tags

AI-A.REI.12

What happens when two inequalities in a system are graphed and they have no overlapping shaded regions?

• There is no solution

• There is one unique solution

• There is an infinite number of solutions

• The solution is any point on the dashed line

Tags

AI-A.REI.12

How can parallel lines in a system of inequalities affect the solution?

• They always result in an infinite number of solutions

• They can result in no solution, a unique solution, or many solutions depending on the shading

• They indicate that the inequalities are identical

• They always result in no solution

Tags

AI-A.REI.12

In the word problem about Autumn selling pasta and sauce, what does the inequality '2x + 3y >= 12' represent?

• The types of products she sells

• The minimum amount of money she needs to make

• The total number of boxes and jars she can sell

• The maximum number of items she can sell

Tags

AI-A.REI.12

What does the inequality 'x + y < 6' represent in Nathan's work hours problem?

• The maximum amount of money he wants to make

• The types of jobs he has

• The minimum hours he needs to work

• The maximum hours he can work

Tags

AI-A.REI.12