Module 6: Inequalities Review

Front

What does the inequality 11 ≤ a represent graphically?

Back

It represents all values of 'a' that are greater than or equal to 11, including 11 itself, shown with a closed dot at 11 and a line extending to the right.

Front

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

Back

A solid line indicates that the points on the line are included in the solution (≥ or ≤), while a dotted line indicates that the points on the line are not included (> or <).

Front

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

Back

Substitute the coordinates of the point into the inequality. If the inequality holds true, then the point is a solution.

Front

What does the inequality 3x - 2y < 10 mean?

Back

It represents all the points (x, y) that lie below the line defined by the equation 3x - 2y = 10.

Front

What is the graphical representation of the inequality 11 > a?

Back

It represents all values of 'a' that are less than 11, shown with a closed dot at 11 and a line extending to the left.

Front

What does the inequality 11 ≥ a indicate?

Back

It indicates that 'a' can be any value less than or equal to 11, including 11 itself.

Front

How do you graph the inequality 3x - 2y ≤ 10?

Back

First, graph the line 3x - 2y = 10 as a solid line, then shade below the line to represent all solutions where 3x - 2y is less than or equal to 10.

Front

What is the significance of the shaded region in a graph of an inequality?

Back

The shaded region represents all the possible solutions to the inequality.

Front

What does it mean if a point lies on a dotted line in an inequality graph?

Back

It means that the point is not included in the solution set of the inequality.

Front

How can you tell which graph represents a given inequality?

Back

By analyzing the inequality's direction (greater than or less than) and the type of line (solid or dotted) to match it with the correct graph.