Solve and Graph Inequalities

Front

What does an open circle on a number line indicate when graphing inequalities?

Back

An open circle indicates that the number is not included in the solution (e.g., x > 45).

Front

What does a closed circle on a number line indicate when graphing inequalities?

Back

A closed circle indicates that the number is included in the solution (e.g., x ≥ 15).

Front

When graphing the inequality x > 45, which direction does the graph extend?

Back

The graph extends to the right.

Front

When graphing the inequality x ≥ 4, which direction does the graph extend?

Back

The graph extends to the right.

Front

What inequality does the number line graph with a closed circle at 3 and shading to the right represent?

Back

x ≥ 3.

Front

What inequality does the number line graph with an open circle at 4 and shading to the left represent?

Back

x < 4.

Front

What is the difference between the inequalities x > 3 and x ≥ 3?

Back

x > 3 does not include 3, while x ≥ 3 includes 3.

Front

How do you represent the inequality '4 is less than x' in symbols?

Back

4 < x.

Front

What does the inequality x ≤ 10 mean?

Back

x can be any number less than or equal to 10.

Front

If you have the inequality x < 5, what would the graph look like?

Back

An open circle at 5 with shading to the left.