3/2-Graphing Inequalities on a Number Line

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

'≥' means 'greater than or equal to'. It indicates that a number can be either greater than or equal to a specified value.

Front

What does the symbol '≤' mean?

Back

'≤' means 'less than or equal to'. It indicates that a number can be either less than or equal to a specified value.

Front

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

Back

Draw a number line, place a closed dot on 5, and shade to the right to indicate all numbers greater than or equal to 5.

Front

How do you graph the inequality x < 5 on a number line?

Back

Draw a number line, place an open dot on 5, and shade to the left to indicate all numbers less than 5.

Front

How do you graph the inequality x ≤ 5 on a number line?

Back

Draw a number line, place a closed dot on 5, and shade to the left to indicate all numbers less than or equal to 5.

Front

What does the inequality x > 5 represent on a number line?

Back

It represents all numbers greater than 5, shown by an open dot on 5 and shading to the right.

Front

What does the inequality x ≥ -5 represent on a number line?

Back

It represents all numbers greater than or equal to -5, shown by a closed dot on -5 and shading to the right.

Front

Give two examples of numbers that satisfy the inequality x < 8.

Back

7, 0, -3, 5.9 (any number less than 8).

Front

What is the difference between '>' and '≥'?

Back

'>' means greater than (not including the number), while '≥' means greater than or equal to (including the number).