Writing and Graphing Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. It indicates that a value can be either less than or exactly equal to another value.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that a value can be either greater than or exactly equal to another value.

Front

How do you represent 'more than twenty students' in inequality form?

Back

s > 20

Front

How do you represent 'at most thirty students' in inequality form?

Back

s ≤ 30

Front

What is the solution set for the inequality s ≤ 35?

Back

The solution set includes all numbers less than or equal to 35.

Front

If m > 17, what is one possible value for m?

Back

23 is a possible value for m.

Front

Which graph represents the inequality r ≥ -6?

Back

The graph should include all points to the right of -6, including -6 itself.

Front

What does the inequality 2 > p mean?

Back

It means that p can be any value less than 2.

Front

How do you graph the inequality x < 4?

Back

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