Solving Inequalities McMunn flashcard

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 in an inequality?

Back

The symbol '>' means 'greater than'. For example, x > 5 means x is greater than 5.

Front

What does the symbol '<' mean in an inequality?

Back

The symbol '<' means 'less than'. For example, x < 3 means x is less than 3.

Front

How do you solve the inequality -20 > 18 + m?

Back

Subtract 18 from both sides to get -38 > m, or m < -38.

Front

What does it mean if an inequality has no solutions?

Back

It means there are no values that can satisfy the inequality. For example, -5(w - 4) < -5w - 15 has no solutions.

Front

How do you isolate a variable in an inequality?

Back

To isolate a variable, perform the same operations on both sides of the inequality, just like in equations.

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 to get h < 2.

Front

What is the solution to the inequality x + 5 ≤ 13?

Back

The solution is x ≤ 8.

Front

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

Back

The inequality sign flips. For example, if you have -2x > 6 and divide by -2, it becomes x < -3.