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

What does the symbol '≥' represent in inequalities?

Back

The symbol '≥' means 'greater than or equal to'.

Front

What does the symbol '≤' represent in inequalities?

Back

The symbol '≤' means 'less than or equal to'.

Front

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

Back

To solve x + 5 ≤ 13, subtract 5 from both sides to get x ≤ 8.

Front

If a student must be at least 15 years old to obtain a driver’s permit, how is this represented in inequality form?

Back

This situation is represented as x ≥ 15, where x is the age of the student.

Front

What is the solution to the inequality k/-12 ≤ -7?

Back

To solve k/-12 ≤ -7, multiply both sides by -12 (remember to reverse the inequality sign), resulting in k ≥ 84.

Front

What is the maximum speed limit represented in inequality form if it is 55?

Back

The maximum speed limit can be represented as s ≤ 55, where s is the speed of the vehicle.

Front

What is the first step in solving a one-step inequality?

Back

The first step is to isolate the variable on one side of the inequality.