writing and graphing inequalities

Front

What is an inequality?

Back

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

Front

What does the symbol '<' represent?

Back

The symbol '<' means 'less than'. For example, 3 < 5 means 3 is less than 5.

Front

What does the symbol '>' represent?

Back

The symbol '>' means 'greater than'. For example, 7 > 4 means 7 is greater than 4.

Front

What does the symbol '≤' represent?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 10 means x can be any number less than or equal to 10.

Front

What does the symbol '≥' represent?

Back

The symbol '≥' means 'greater than or equal to'. For example, y ≥ 5 means y can be any number greater than or equal to 5.

Front

How do you write an inequality for 'The cost, c, is less than $45'?

Back

c < 45

Front

How do you write an inequality for 'The weight limit, w, on the bridge is 12 tons'?

Back

w ≤ 12

Front

How do you write an inequality for 'The distance, d, is at least 110 miles'?

Back

d ≥ 110

Front

What is the graph of the inequality x < 3?

Back

The graph shows a number line with an open circle at 3 and a line extending to the left.

Front

What is the graph of the inequality x ≥ 3?

Back

The graph shows a number line with a closed circle at 3 and a line extending to the right.