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

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 solve the inequality x + 5 ≤ 13?

Back

Subtract 5 from both sides: x ≤ 8.

Front

What is the inequality that represents 'four times a number increased by 6 is greater than 22'?

Back

The inequality is 4x + 6 > 22.

Front

What does it mean if an inequality has no solutions?

Back

It means there are no values that satisfy the inequality.

Front

How do you solve the inequality -5(w - 4) < -5w - 15?

Back

Distribute -5: -5w + 20 < -5w - 15. This simplifies to 20 < -15, which is false.

Front

What is the solution to the inequality -4 - 6m > -9m + 8?

Back

The solution is m > 4.

Front

How do you solve the inequality 4h < 8?

Back

Divide both sides by 4: h < 2.

Front

What is the first step in solving an inequality?

Back

Identify the inequality symbol and isolate the variable.