Graphing One Variable Inequalities

Front

What is an inequality in mathematics?

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 '≥' represent?

Back

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

Front

What does the symbol '≤' represent?

Back

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

Front

What does the symbol '>' represent?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '<' represent?

Back

The symbol '<' means 'less than'.

Front

How do you graph the inequality x ≥ 2 on a number line?

Back

To graph x ≥ 2, draw a closed circle on 2 and shade the line to the right, indicating all numbers greater than or equal to 2.

Front

How do you graph the inequality x ≤ -3 on a number line?

Back

To graph x ≤ -3, draw a closed circle on -3 and shade the line to the left, indicating all numbers less than or equal to -3.

Front

What is the difference between a closed circle and an open circle on a number line?

Back

A closed circle indicates that the number is included in the solution (≥ or ≤), while an open circle indicates that the number is not included (> or <).

Front

How do you graph the inequality x > 2 on a number line?

Back

To graph x > 2, draw an open circle on 2 and shade the line to the right, indicating all numbers greater than 2.

Front

How do you graph the inequality k < 3 on a number line?

Back

To graph k < 3, draw an open circle on 3 and shade the line to the left, indicating all numbers less than 3.