Graphing & Solving 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 '>' represent?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '<' represent?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '≥' represent?

Back

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

Front

What does the symbol '≤' represent?

Back

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

Front

How do you graph the inequality y > -2x - 3?

Back

To graph y > -2x - 3, first graph the line y = -2x - 3 as a dashed line, then shade above the line.

Front

What is the solution to the inequality 4x + 5 ≥ 41?

Back

The solution is x ≥ 9.

Front

How do you determine if a point is a solution to an inequality?

Back

Substitute the point's coordinates into the inequality. If the statement is true, the point is a solution.

Front

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

Back

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

Front

What does the graph of y < -x - 5 look like?

Back

The graph of y < -x - 5 has a dashed line for y = -x - 5, with shading below the line.