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 'greater than or equal to'.

Front

What does the symbol '≤' mean?

Back

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

Front

How do you represent 'at least 48 inches' in inequality form?

Back

x ≥ 48

Front

How do you represent 'no more than 20 dollars' in inequality form?

Back

x ≤ 20

Front

What does the graph of x < 4 look like?

Back

The graph shows a line with an open circle at 4 and shading to the left.

Front

What does the graph of x ≥ -4 look like?

Back

The graph shows a line with a closed circle at -4 and shading to the right.

Front

If x < -4, what does this mean in terms of values of x?

Back

This means that x can be any number less than -4.

Front

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

Back

'>' means greater than, while '≥' means greater than or equal to.

Front

What is the difference between '<' and '≤'?

Back

'<' means less than, while '≤' means less than or equal to.