Solving Inequalities

Front

What happens to the inequality sign when you multiply or divide both sides by a negative number?

Back

You must flip the inequality sign.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols such as <, >, ≤, or ≥.

Front

What does the symbol < represent in an inequality?

Back

It means 'less than'.

Front

What does the symbol > represent in an inequality?

Back

It means 'greater than'.

Front

What does the symbol ≤ represent in an inequality?

Back

It means 'less than or equal to'.

Front

What does the symbol ≥ represent in an inequality?

Back

It means 'greater than or equal to'.

Front

How do you represent the solution set of an inequality on a number line?

Back

Use an open dot for < or > and a closed dot for ≤ or ≥.

Front

Is 7 a solution to the inequality d + 2 < 6?

Back

No, because 7 + 2 = 9, which is not less than 6.

Front

Which number is a solution to the inequality m > \frac{13}{3}?

Back

5, because 5 is greater than \frac{13}{3}.

Front

What is the solution to the inequality x - 2 ≤ -4?

Back

x ≤ -2.