Graphing Inequalities

Front

What does the symbol '<' represent in inequalities?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '≤' represent in inequalities?

Back

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

Front

What does the symbol '≥' represent in inequalities?

Back

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

Front

What type of line is used to graph the inequality 'y < x - 2'?

Back

A dashed line is used to graph 'y < x - 2'.

Front

What type of line is used to graph the inequality 'y ≤ x - 2'?

Back

A solid line is used to graph 'y ≤ x - 2'.

Front

What does the inequality 'y ≥ -x + 1' indicate about the graph?

Back

The area above and including the line 'y = -x + 1' is part of the solution set.

Front

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

Back

Substitute the point's coordinates into the inequality. If the inequality holds true, the point is part of the solution set.

Front

What is the solution set of the inequality 'y < 3'?

Back

The solution set includes all points below the horizontal line 'y = 3'.

Front

What is the solution set of the inequality 'x > 2'?

Back

The solution set includes all points to the right of the vertical line 'x = 2'.

Front

What does the graph of 'y ≤ 5x - 3' look like?

Back

It includes a solid line for 'y = 5x - 3' and the area below the line.