Graphing Inequalities

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

'≥' means 'greater than or equal to'. It indicates that the value on the left is either greater than or equal to the value on the right.

Front

What does the symbol '≤' mean?

Back

'≤' means 'less than or equal to'. It indicates that the value on the left is either less than or equal to the value on the right.

Front

How do you graph the inequality n ≥ -2?

Back

To graph n ≥ -2, draw a solid dot on -2 and shade to the right, indicating all values greater than -2.

Front

How do you graph the inequality b < -3/2?

Back

To graph b < -3/2, draw an open dot on -3/2 and shade to the left, indicating all values less than -3/2.

Front

What is the difference between open and closed circles on a graph?

Back

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

Front

Which graph represents the inequality r ≥ -6?

Back

The graph should have a closed circle on -6 and shade to the right.

Front

How do you determine which inequality matches a given graph?

Back

Look at the shaded region and the type of circle (open or closed) to determine the correct inequality.

Front

What does the inequality b ≥ -3/2 indicate about the value of b?

Back

It indicates that b can be -3/2 or any value greater than -3/2.

Front

If a graph shows a shaded area to the left of -2 with an open circle, what inequality does it represent?

Back

It represents the inequality n < -2.