Graphing Inequalities

Front

What does the inequality k < 3 represent on a number line?

Back

All values of k that are less than 3, represented with an open circle at 3 and shading to the left.

Front

How do you represent spending no more than 20 dollars in inequality form?

Back

x ≤ 20, meaning x can be 20 or any value less than 20.

Front

What does the number line graph with a closed circle at -5 and shading to the right represent?

Back

x ≥ -5, meaning x can be -5 or any value greater than -5.

Front

What type of circle is used when graphing the inequality b < 6?

Back

An open circle, indicating that 6 is not included in the solution.

Front

What does the inequality a ≥ 11 indicate about the value of a?

Back

a can be 11 or any value greater than 11.

Front

How do you graph the inequality x > 5?

Back

Use an open circle at 5 and shade to the right.

Front

What is the difference between x < 20 and x ≤ 20?

Back

x < 20 does not include 20 (open circle), while x ≤ 20 includes 20 (closed circle).

Front

What does a closed circle on a number line indicate?

Back

The value at that point is included in the solution set.

Front

What does an open circle on a number line indicate?

Back

The value at that point is not included in the solution set.

Front

How would you express the statement 'x is greater than or equal to 10' in inequality form?

Back

x ≥ 10.