Linear Inequalities in Computer Sales

The video tutorial covers how to determine the number of computers a company should sell to make a profit using linear inequalities. It reviews inequality symbols, explains the difference between linear equations and inequalities, and provides an example with Orange Computer Company. The tutorial also demonstrates how to graph inequalities and interpret the results, emphasizing the importance of understanding constraints and solutions.

What is the primary focus of this lesson?

• Understanding how to calculate the cost of production.

• Learning how to represent constraints using linear inequalities.

• Exploring the history of computer sales.

• Studying the impact of technology on business.

Which symbol represents 'greater than or equal to'?

• <

• >

• >=

• <=

How can the inequality 'b is greater than -3' be rewritten?

• b is equal to -3

• b is less than -3

• -3 is less than b

• -3 is greater than b

What is the main difference between linear equations and inequalities?

• Linear inequalities are always less than equations.

• Linear equations have no solutions.

• Linear inequalities have solutions in a shaded region.

• Linear equations are always greater than inequalities.

What is the production cost for Orange Computers?

• $1,062.50

• $875

• $74,375

• $85

If no laptops are sold, how many desktops must be sold to make a profit?

• More than 70

• Exactly 85

• Less than 85

• More than 85

If no desktops are sold, how many laptops must be sold to make a profit?

• Exactly 70

• Less than 70

• More than 85

• More than 70

What does the variable 'd' represent in the inequality?

• Profit margin

• Production cost

• Number of desktops

• Number of laptops

What does the shaded region in a graph of a linear inequality represent?

• The possible solutions

• The production cost

• The exact solutions

• The incorrect solutions

What is the main goal of using linear inequalities in the computer sales scenario?

• To compare desktop and laptop prices

• To find the minimum sales needed to make a profit

• To determine the exact number of computers sold

• To calculate the total production cost