Solving Word Problems with Inequalities

This video tutorial covers solving inequalities through word problems. It begins with an introduction to inequalities and their symbols, followed by strategies for writing inequalities from word problems. The tutorial highlights keywords associated with inequalities and provides an example problem involving Katie's zoo trip. The video walks through solving the inequality step-by-step and concludes with a summary of the lesson.

What is an inequality in mathematics?

• A sentence that calculates the sum of numbers

• A sentence that states two expressions are equal

• A sentence that compares quantities using symbols

• A sentence that describes a geometric shape

Which symbol represents 'greater than or equal to'?

• <

• >

• >=

• <=

In the context of inequalities, what does 'at least' mean?

• Greater than or equal to

• Less than

• Greater than

• Less than or equal to

What is the first step in solving a word problem using inequalities?

• Read the entire problem

• Solve the inequality

• Identify the variable

• Write the inequality

In the example problem, what does the variable M represent?

• The number of days until the trip

• The amount of money Katie needs to earn

• The cost of the zoo trip

• The total amount of money Katie has

What operation is used to isolate the variable M in the inequality M + 11 ≥ 20?

• Subtraction

• Division

• Addition

• Multiplication

What is the final solution to the inequality M + 11 ≥ 20?

• M is less than 9

• M is equal to 9

• M is greater than or equal to 9

• M is less than or equal to 9