Writing Linear Inequalities to Determine Profit in Computer Sales

This video tutorial teaches how to represent constraints on solutions using linear inequalities. It reviews inequality symbols and their meanings, explains how to write and interpret different inequality statements, and provides an example involving a computer company's profit scenario. The tutorial also covers graphing the inequality scenario to visualize solutions.

Which symbol represents 'greater than or equal to'?

• >

• ≥

• <

• ≤

If b is greater than -3, which of the following is an equivalent inequality?

• -3 < b

• b < -3

• b = -3

• -3 > b

What is the main difference between solutions of linear equations and linear inequalities?

• Equations have solutions only in the shaded region.

• Inequalities have solutions in the shaded region.

• Inequalities have solutions only on the line.

• Equations have no solutions.

What is the production cost for Orange Computer?

• $74,375

• $85

• $875

• $1,062.50

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

• More than 85

• Exactly 85

• Less than 85

• More than 70

In the scenario where no desktops are sold, how many laptops must be sold to make a profit?

• More than 85

• Less than 70

• Exactly 70

• More than 70

What does the shaded region in the graph represent?

• Points on the line

• Points outside the line

• Points that are solutions

• Points that are not solutions