Real-World Equations and 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 'at most' mean in mathematical terms?

Back

'At most' indicates a maximum limit. For example, if a value is at most 10, it can be 10 or any number less than 10.

Front

What does 'at least' mean in mathematical terms?

Back

'At least' indicates a minimum limit. For example, if a value is at least 5, it can be 5 or any number greater than 5.

Front

How do you represent 'no more than 62 inches' in inequality form?

Back

The inequality is represented as k ≤ 62.

Front

How do you represent 'at least 15 years old' in inequality form?

Back

The inequality is represented as x ≥ 15.

Front

If a pizza slice costs $2.50 and a soda costs $1.75, how would you express spending under $15 on lunch?

Back

The inequality is represented as 15 > 2.50x + 1.75.

Front

What is the perimeter of an equilateral triangle with each side length s?

Back

The perimeter P is given by P = 3s.

Front

If the perimeter of an equilateral triangle is at most 45 cm, what is the maximum length of each side?

Back

Each side can be at most 15 cm.

Front

What is the solution to the inequality 2x + 3 < 11?

Back

The solution is x < 4.

Front

What does it mean if a student must be at least 15 years old to obtain a driver's permit?

Back

It means the student's age must be 15 or older, represented as x ≥ 15.