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 in an inequality?

Back

The symbol '>' means 'greater than'.

Front

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

Back

The symbol '<' means 'less than'.

Front

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

Back

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

Front

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

Back

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

Front

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

Back

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

Front

How do you graph the inequality y > 2x + 1?

Back

Graph the line y = 2x + 1 with a dashed line and shade above the line.

Front

How do you graph the inequality y ≤ -3/4x + 3?

Back

Graph the line y = -3/4x + 3 with a solid line and shade below the line.

Front

What does it mean if a region is shaded above a line in a graph?

Back

It means that the solutions to the inequality are greater than the line's equation.

Front

What does it mean if a region is shaded below a line in a graph?

Back

It means that the solutions to the inequality are less than the line's equation.