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

'≥' means 'greater than or equal to'.

Front

What does the symbol '≤' mean?

Back

'≤' means 'less than or equal to'.

Front

What does the symbol '<' mean?

Back

'<' means 'less than'.

Front

What does the symbol '>' mean?

Back

'>' means 'greater than'.

Front

How do you graph the inequality x ≥ 2.5?

Back

You place a closed dot on 2.5 and shade to the right.

Front

How do you graph the inequality x < 3?

Back

You place an open dot on 3 and shade to the left.

Front

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

Back

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

Front

What inequality does the number line graph with a closed dot at -4 and shading to the left represent?

Back

x ≤ -4.

Front

What inequality does the number line graph with an open dot at -4 and shading to the right represent?

Back

x > -4.