Graphing Inequalities

Front

What is an inequality in mathematics?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

What does the symbol '>' represent in an inequality?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '<' represent in an inequality?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '≥' represent in an inequality?

Back

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

Front

What does the symbol '≤' represent in an inequality?

Back

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

Front

How do you graph the inequality y > 2x - 5?

Back

To graph y > 2x - 5, first graph the line y = 2x - 5 as a dashed line (since it's not inclusive), then shade the region above the line.

Front

What is the solution set of an inequality?

Back

The solution set of an inequality is the set of all values that satisfy the inequality.

Front

How can you determine if a point is part of the solution set for an inequality?

Back

To determine if a point is part of the solution set, substitute the coordinates of the point into the inequality and check if the statement is true.

Front

What is the difference between a solid line and a dashed line when graphing inequalities?

Back

A solid line indicates that the points on the line are included in the solution set (≥ or ≤), while a dashed line indicates that the points on the line are not included (> or <).

Front

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

Back

The inequality x ≤ -2 represents all values to the left of -2, including -2 itself.