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 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, y < 10 means y is less than 10.

Front

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

Back

The symbol '≥' means 'greater than or equal to'. For example, z ≥ 3 means z is greater than or equal to 3.

Front

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

Back

The symbol '≤' means 'less than or equal to'. For example, a ≤ 7 means a is less than or equal to 7.

Front

How do you solve the inequality x + 4 < 10?

Back

Subtract 4 from both sides: x < 6.

Front

Is x = 9 a solution to the inequality x > 9?

Back

No, x = 9 is not a solution because 9 is not greater than 9.

Front

What is the solution to the inequality -3 + x ≤ -11?

Back

The solution is x ≤ -8.

Front

Write an inequality for the maximum speed limit of 55 mph.

Back

s ≤ 55, where s is the speed.

Front

Solve the inequality 30 + n ≥ 50.

Back

The solution is n ≥ 20.