Graphing Inequalities (for a grade)

Front

What does the inequality x < -4 represent on a number line?

Back

The graph shows all numbers less than -4, with an open circle at -4.

Front

When graphing the inequality x < 3, what type of circle is used?

Back

An open circle is used to indicate that 3 is not included in the solution.

Front

What inequality corresponds to a graph that includes -2 but does not include -3?

Back

b ≤ -2.

Front

What inequality corresponds to a graph that includes 11 and all numbers greater than 11?

Back

a ≥ 11.

Front

Which graph represents the inequality p < 2?

Back

Graph D represents p < 2.

Front

What is the difference between a closed circle and an open circle in graphing inequalities?

Back

A closed circle indicates that the number is included (≤ or ≥), while an open circle indicates it is not included (< or >).

Front

How do you graph the inequality x ≥ -1?

Back

Draw a number line, place a closed circle at -1, and shade to the right.

Front

What does the inequality b > -3 indicate on a number line?

Back

The graph shows all numbers greater than -3, with an open circle at -3.

Front

If a graph shows all numbers less than or equal to 5, what is the corresponding inequality?

Back

x ≤ 5.

Front

How would you represent the inequality y < 4 on a graph?

Back

Draw a number line, place an open circle at 4, and shade to the left.