One step inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

What does the symbol '>' represent in inequalities?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '<' represent in inequalities?

Back

The symbol '<' means 'less than'.

Front

How do you solve the inequality x + 5 > 7?

Back

Subtract 5 from both sides to get x > 2.

Front

What is the solution to the inequality -4 + y < -8?

Back

Add 4 to both sides to get y < -4.

Front

How do you solve the inequality 8x < 48?

Back

Divide both sides by 8 to get x < 6.

Front

What is the solution to the inequality -5m < 10?

Back

Divide both sides by -5 (remember to flip the inequality) to get m > -2.

Front

How do you solve the inequality 15 > -5 + z?

Back

Add 5 to both sides to get z < 20.

Front

What is the difference between strict and non-strict inequalities?

Back

Strict inequalities (<, >) do not include the boundary value, while non-strict inequalities (≤, ≥) do include the boundary value.

Front

What is the importance of flipping the inequality sign when multiplying or dividing by a negative number?

Back

Flipping the inequality sign ensures that the relationship between the two sides of the inequality remains true.