Graphing Vertical & Horizontal Inequalities

Front

What is the solution set of an inequality?

Back

The solution set of an inequality can have multiple answers, as it includes all values that satisfy the inequality.

Front

What does a solid line represent in graphing inequalities?

Back

A solid line indicates that the values on the line are included in the solution set (e.g., y ≥ or x ≥).

Front

What does a dashed line represent in graphing inequalities?

Back

A dashed line indicates that the values on the line are not included in the solution set (e.g., y < or x <).

Front

How do you graph the inequality x < -1?

Back

Draw a dashed vertical line at x = -1 and shade to the left of the line.

Front

How do you graph the inequality y ≥ 2?

Back

Draw a solid horizontal line at y = 2 and shade above the line.

Front

What is the difference between 'greater than' and 'greater than or equal to'?

Back

'Greater than' (>) does not include the boundary value, while 'greater than or equal to' (≥) includes it.

Front

What is the difference between 'less than' and 'less than or equal to'?

Back

'Less than' (<) does not include the boundary value, while 'less than or equal to' (≤) includes it.

Front

If the inequality is y < 3, what type of line is used to graph it?

Back

A dashed line is used to graph y < 3.

Front

If the inequality is x ≥ 4, what type of line is used to graph it?

Back

A solid line is used to graph x ≥ 4.

Front

What does the inequality x ≤ -2 represent on a number line?

Back

It represents all values to the left of -2, including -2 itself.