Understanding Inequalities and Their Solutions

The video tutorial from Mumu Math and Science covers solving inequality word problems. It begins with an introduction to key expressions used in inequalities, such as 'at least', 'no more than', and 'a minimum of'. The tutorial then walks through four different inequality problems, providing step-by-step solutions and explanations for each. The video emphasizes understanding the expressions and applying them to solve inequalities. The tutorial concludes with a reminder to be kind, reinforcing a positive learning environment.

What does the expression 'is at least' signify in inequalities?

• Less than

• Less than or equal to

• Greater than or equal to

• Equal to

In the first problem, what operation is performed after adding 9 to both sides?

• Dividing by 9

• Subtracting 9

• Multiplying by 9

• Adding 72

What is the final solution for the inequality in the first problem?

• X is less than or equal to 9

• X is greater than or equal to 9

• X is greater than 9

• X is less than 9

In the second problem, what does 'no more than' translate to in inequality terms?

• Greater than

• Less than

• Less than or equal to

• Equal to

What is the final solution for the inequality in the second problem?

• X is greater than or equal to 4

• X is equal to 4

• X is less than or equal to 4

• X is greater than 4

In the third problem, what does 'a minimum of' indicate?

• Less than

• Greater than

• Equal to

• Greater than or equal to

What is the final solution for the inequality in the third problem?

• X is greater than or equal to -6

• X is less than -6

• X is less than or equal to -6

• X is greater than -6

In the fourth problem, what does 'a maximum of' mean in terms of inequalities?

• Less than or equal to

• Greater than

• Greater than or equal to

• Equal to

What is the final solution for the inequality in the fourth problem?

• X is greater than or equal to 35

• X is less than or equal to 35

• X is greater than 35

• X is less than 35

What operation is performed to eliminate the fraction in the fourth problem?

• Adding 5

• Subtracting 5

• Multiplying by 2

• Dividing by 2