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 'less than or equal to'.

Front

What does the symbol '≥' mean?

Back

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

Front

How do you graph the inequality x ≤ 3?

Back

You draw a number line, place a closed circle on 3, and shade to the left.

Front

What does a closed circle on a graph indicate?

Back

A closed circle indicates that the number is included in the solution (≤ or ≥).

Front

What does an open circle on a graph indicate?

Back

An open circle indicates that the number is not included in the solution (< or >).

Front

Write an inequality for the statement: 'x is greater than 4'.

Back

x > 4

Front

Write an inequality for the statement: 'x is less than or equal to -1'.

Back

x ≤ -1

Front

What is the solution set for the inequality x < 2?

Back

The solution set includes all numbers less than 2.

Front

How do you represent the inequality x ≥ 5 on a number line?

Back

Draw a number line, place a closed circle on 5, and shade to the right.