Graphing Inequalities

Front

What does the inequality 6 > x mean?

Back

x is any number less than 6.

Front

When graphing an inequality, which symbols require an open dot?

Back

< and >.

Front

What does a closed circle represent in graphing inequalities?

Back

It indicates that the number is included in the solution (e.g., x ≤ 3).

Front

What does an open circle represent in graphing inequalities?

Back

It indicates that the number is not included in the solution (e.g., x < 3).

Front

How do you graph the inequality b > -2?

Back

Draw a number line, place an open circle at -2, and shade to the right.

Front

How do you graph the inequality b ≤ -2?

Back

Draw a number line, place a closed circle at -2, and shade to the left.

Front

What is the difference between ≤ and < in graphing?

Back

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

Front

What does the inequality a ≥ 11 mean?

Back

a is any number greater than or equal to 11.

Front

How do you represent the inequality x < 3 on a number line?

Back

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

Front

What does the inequality b < -2 indicate?

Back

b is any number less than -2.