Practice Graphing Two Variable Inequalities #2

Front

What does the symbol < represent in graphing inequalities?

Back

It indicates that the region below the line should be shaded.

Front

Are the ordered pairs on the boundary line part of the solution for a < or > inequality?

Back

No, the solutions on the boundary line are not part of the solution.

Front

Write the inequality for Justin's lawn mowing situation: He charges $11 for small lawns and $26 for large lawns, wanting to make at least $130.

Back

Front

Write the inequality for Yumi's dinner party seating: Circular tables seat 8 guests, rectangular tables seat 10 guests, needing to seat at least 162 guests.

Back

Front

Which point is NOT part of the solution set for a given inequality? (3, 4), (0, 4), (-2, 6), (6, 2)

Back

(0, 4) is NOT part of the solution set.

Front

What is the general form of a two-variable inequality?

Back

Front

What does shading above the line indicate in graphing inequalities?

Back

It indicates that the solutions to the inequality are above the boundary line.

Front

What is the difference between a solid line and a dashed line in graphing inequalities?

Back

A solid line indicates that points on the line are included in the solution (for <= or >=), while a dashed line indicates they are not included (for < or >).

Front

How do you determine if a point is a solution to an inequality?

Back

Substitute the point's coordinates into the inequality. If the inequality holds true, the point is a solution.

Front

What is the significance of the boundary line in a two-variable inequality?

Back

The boundary line divides the coordinate plane into two regions, representing solutions and non-solutions.