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 '≤' mean?

Back

'≤' means 'less than or equal to'. It indicates that one value is either less than or equal to another.

Front

What does the symbol '≥' mean?

Back

'≥' means 'greater than or equal to'. It indicates that one value is either greater than or equal to another.

Front

How do you solve the inequality x + 5 ≤ 13?

Back

Subtract 5 from both sides: x ≤ 8.

Front

What is the solution to the inequality -8x < 48?

Back

Divide both sides by -8 (remember to flip the inequality): x > -6.

Front

What does a number line graph showing x ≥ 3 look like?

Back

It includes a closed dot at 3 and a line extending to the right.

Front

How do you solve the inequality 4h < 8?

Back

Divide both sides by 4: h < 2.

Front

What does the inequality x < -4 represent on a number line?

Back

It shows an open dot at -4 and a line extending to the left.

Front

What is the first step in solving an inequality?

Back

Identify the inequality symbol and isolate the variable on one side.

Front

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

Back

The inequality sign flips direction.