Graphing Inequalities

Front

What does the inequality x < 6 represent on a number line?

Back

All numbers less than 6, represented by an open circle at 6 and shading to the left.

Front

What does the inequality x ≥ 3 mean?

Back

All numbers greater than or equal to 3, represented by a closed circle at 3 and shading to the right.

Front

How do you graph the inequality k < 3?

Back

Draw an open circle at 3 and shade to the left.

Front

What does the inequality x ≤ -4 indicate?

Back

All numbers less than or equal to -4, represented by a closed circle at -4 and shading to the left.

Front

How do you represent the inequality r ≥ -6 on a graph?

Back

Draw a closed circle at -6 and shade to the right.

Front

What is the difference between x < 3 and x ≤ 3?

Back

x < 3 does not include 3 (open circle), while x ≤ 3 includes 3 (closed circle).

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

What does a closed circle on a number line indicate?

Back

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

Front

How do you determine the solution set for the inequality x > 2?

Back

All numbers greater than 2, represented by an open circle at 2 and shading to the right.

Front

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

Back

An open circle at -1 with shading to the left.