Graphing Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'.

Front

How do you represent the inequality b < 6 on a number line?

Back

You would use an open circle at 6 and shade to the left.

Front

How do you represent the inequality b ≤ 6 on a number line?

Back

You would use a closed circle at 6 and shade to the left.

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 (e.g., <), while a closed circle indicates that the number is included (e.g., ≤).

Front

Which inequality corresponds to a graph that includes the point -6?

Back

The inequality r ≥ -6 corresponds to a graph that includes the point -6.

Front

If 2 > p, what does this mean in terms of p?

Back

This means that p is any number less than 2.

Front

How would you graph the inequality x > 3?

Back

You would use an open circle at 3 and shade to the right.

Front

How would you graph the inequality x ≤ 4?

Back

You would use a closed circle at 4 and shade to the left.