Solving and 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?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '≤' mean?

Back

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

Front

What does the symbol '≥' mean?

Back

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

Front

How do you represent the inequality -2 < n on a number line?

Back

You would draw an open dot at -2 and shade to the right, indicating that n can be any number greater than -2.

Front

When graphing an inequality, what does an open dot represent?

Back

An open dot represents that the number at that point is not included in the solution (used for < and >).

Front

When graphing an inequality, what does a closed dot represent?

Back

A closed dot represents that the number at that point is included in the solution (used for ≤ and ≥).

Front

How do you solve the inequality m - 9 ≤ 20?

Back

Add 9 to both sides to get m ≤ 29.

Front

What is the solution to the inequality r - 7 < -3?

Back

Add 7 to both sides to get r < 4.