2.4.1 Graph Inequalities

Front

What does the inequality c < 9 represent on a graph?

Back

It represents all values of c that are less than 9, shown with an open dot at 9 and a line extending to the left.

Front

What does the inequality a ≥ 11 indicate when graphed?

Back

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

Front

How is the inequality b ≤ -2 represented on a graph?

Back

It is represented with a closed dot at -2 and a line extending to the left.

Front

When do you use an open dot on a graph of an inequality?

Back

An open dot is used for inequalities with < or > symbols.

Front

What does the inequality -3/7 > j mean when graphed?

Back

It means all values of j that are less than -3/7, shown with an open dot at -3/7 and a line extending to the left.

Front

What is the difference between ≤ and < in graphing inequalities?

Back

≤ includes the endpoint (closed dot), while < does not (open dot).

Front

How do you graph the inequality x > 5?

Back

You place an open dot at 5 and draw a line extending to the right.

Front

What does the inequality y ≤ 4 represent on a graph?

Back

It represents all values of y that are less than or equal to 4, shown with a closed dot at 4 and a line extending to the left.

Front

What is the graphical representation of the inequality z < -1?

Back

It is represented with an open dot at -1 and a line extending to the left.

Front

How do you interpret the inequality m ≥ 0 on a number line?

Back

It includes all values of m that are greater than or equal to 0, shown with a closed dot at 0 and a line extending to the right.