Graphing & Translating Inequalities

Front

What does the inequality r ≥ -6 represent on a number line?

Back

The graph includes all numbers greater than or equal to -6, with a closed circle at -6.

Front

How do you represent the inequality a ≥ 11 on a graph?

Back

You use a closed circle at 11 and shade to the right.

Front

What does the inequality x ≥ 3 indicate about the values of x?

Back

x can be 3 or any number greater than 3.

Front

If a person must be no more than 12 years old to order from the kids menu, how is this represented mathematically?

Back

x ≤ 12, meaning x can be 12 or any number less than 12.

Front

When graphing the inequality b < 6, what type of circle is used?

Back

An open circle is used at 6, indicating that 6 is not included.

Front

What is the difference between an open circle and a closed circle on a graph?

Back

An open circle indicates that the number is not included in the solution, while a closed circle indicates that it is included.

Front

How would you graph the inequality x > 3?

Back

Use an open circle at 3 and shade to the right.

Front

What does the inequality a < 11 mean in terms of values for a?

Back

a can be any number less than 11.

Front

How do you represent the inequality x ≤ -2 on a number line?

Back

Use a closed circle at -2 and shade to the left.

Front

What is the graphical representation of the inequality y ≥ 4?

Back

A closed circle at 4 on the y-axis, shading upwards.