Solving Linear Inequalities with Context

This video tutorial guides viewers through solving a decimal word problem using a two-step linear inequality. The problem involves calculating the minimum number of minutes Trey uses his phone, given a monthly fee and per-minute charge. The tutorial explains setting up the inequality, solving it step-by-step, and concludes with the result that Trey uses at least 1079 minutes each month.

What type of problem is being addressed in the video?

• Solving a decimal word problem using a two-step linear inequality

• Solving a single-step inequality

• Solving a quadratic equation

• Solving a system of equations

What is the monthly fee Trey pays for his phone service?

• $7

• $0.07

• $11

• $86.53

How much does Trey pay per minute for his phone usage?

• $0.07

• $0.11

• $7.00

• $0.86

What is the minimum amount Trey has been charged in a month?

• $107.90

• $11.00

• $75.53

• $86.53

What variable is used to represent the number of minutes Trey uses his phone?

• n

• t

• m

• x

What is the first step in solving the inequality for m?

• Multiply both sides by 0.07

• Subtract 11 from both sides

• Divide both sides by 0.07

• Add 11 to both sides

After subtracting 11 from both sides, what is the new right-hand side of the inequality?

• 0.07

• 86.53

• 75.53

• 107.90

What operation is used to isolate m after subtracting 11?

• Addition

• Subtraction

• Division

• Multiplication

What is the final value of m after solving the inequality?

• 865 minutes

• 753 minutes

• 1079 minutes

• 1100 minutes

Why is the inequality sign kept the same when dividing by 0.07?

• Because 0.07 is a negative number

• Because 0.07 is a positive number

• Because the inequality is already solved

• Because it is a constant