Graphing Inequalities on a Number Line

Front

What is an inequality?

Back

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

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '≥' mean?

Back

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

Front

What does the symbol '≤' mean?

Back

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

Front

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

Back

Draw a number line, place an open circle at 5, and shade to the left.

Front

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

Back

Draw a number line, place a closed circle at -2, and shade to the right.

Front

What does the inequality x ≤ 23 mean in words?

Back

x is less than or equal to 23.

Front

If r < 140, what does this mean in a real-world context?

Back

It means the heart rate should be less than 140 beats per minute.

Front

What is the difference between 'or' and 'and' in inequalities?

Back

'Or' means at least one condition must be true, while 'and' means both conditions must be true.