Math Inequalities and Problem Solving

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

How do you represent 'six less than three times a number' mathematically?

Back

3x - 6, where x is the number.

Front

What does the inequality '3x - 6 > 12' represent?

Back

It represents that three times a number minus six is greater than twelve.

Front

How do you find the minimum score needed to achieve an average?

Back

Add all current scores, divide by the number of tests, and set up an inequality to find the required score for the last test.

Front

What is the average score needed to pass a course if the requirement is 65?

Back

The average score must be 65 or higher.

Front

How do you express 'at least 23 inches' in inequality form?

Back

h ≥ 23, where h is the height of the dog.

Front

What does the inequality 'h < 23' mean?

Back

It means that the height of the dog is less than 23 inches.

Front

What is the minimum weight loss guarantee for the first week at the fitness center?

Back

5 pounds.

Front

How do you calculate the total weight loss over multiple weeks?

Back

Total weight loss = initial weight loss + (number of additional weeks × weight loss per week).

Front

What is the maximum integer value for '3x + 1 < 37'?

Back

The greatest possible integer value of x is 11.