Solving Linear Inequalities

The video tutorial covers solving inequalities in a seventh-grade mathematics context. It includes step-by-step solutions to various inequality problems, demonstrating how to manipulate and solve them. The tutorial also covers a practical problem involving calculating discounts and percentages. The video concludes with a call to support the channel.

What is the first step to solve the inequality -1 ≤ x/2?

• Add 1 to both sides

• Multiply both sides by 2

• Subtract 2 from both sides

• Divide both sides by -1

Which value of x makes the inequality -1 ≤ x/2 true?

• x = -2

• x = -3

• x = -4

• x = -5

What operation is necessary to solve 1 ≤ -x/2?

• Divide both sides by 2

• Subtract 1 from both sides

• Multiply both sides by -2

• Add 2 to both sides

Which value of x satisfies the inequality 1 ≤ -x/2?

• x = -3

• x = -2

• x = -1

• x = -4

What is the solution to the inequality 100 - 3x ≥ -50?

• x ≤ 50

• x ≥ 50

• x ≤ -50

• x ≥ -50

How do you graph the solution to -5(x - 1) > -40?

• Use a filled circle at 9 and point left

• Use an open circle at 9 and point left

• Use a filled circle at 9 and point right

• Use an open circle at 9 and point right

What is the solution to the inequality -x + 6 ≥ 10?

• x ≥ 4

• x ≤ 4

• x ≥ -4

• x ≤ -4

How do you graph the solution for x > 7?

• Bubble 7 and point right

• Bubble 7 and point left

• Circle 7 and point right

• Circle 7 and point left

What was the percentage discount on the earrings?

• 35%

• 40%

• 45%

• 30%