Verifying Inequality Solutions

The video tutorial explains how to check the correctness of a solution to an inequality. It begins by introducing the concept of verifying solutions for inequalities. The tutorial then demonstrates solving the inequality 2n + 5 > 11 - n step-by-step, leading to the solution n > 2. The solution is verified by substituting values greater than 2 into the original inequality. The tutorial concludes by testing the solution with different values to ensure its correctness, emphasizing the importance of verification in solving inequalities.

What is the main focus of the video tutorial?

• Checking the correctness of an inequality solution

• Graphing linear equations

• Solving quadratic equations

• Understanding probability

What is the inequality presented in the video?

• 2n + 5 ≤ 11 - n

• 2n + 5 > 11 - n

• 2n + 5 = 11 - n

• 2n + 5 < 11 - n

What is the inequality sign used in the problem?

• <

• >

• =

• ≤

What is the first step in solving the inequality 2n + 5 > 11 - n?

• Multiply both sides by 2

• Subtract 5 from both sides

• Subtract n from both sides

• Add 5 to both sides

What happens if you divide both sides of an inequality by a negative number?

• The inequality sign is removed

• The inequality sign flips

• The inequality sign remains the same

• The inequality becomes an equation

What is the key difference when solving inequalities compared to equations?

• You flip the inequality sign when dividing by a negative

• You multiply instead of divide

• You add instead of subtract

• You use a different variable

What do you do after moving the terms in the inequality 2n + 5 > 11 - n?

• Divide both sides by 3

• Add 3 to both sides

• Multiply both sides by 3

• Subtract 3 from both sides

What value of n is used first to verify the solution?

• n = 4

• n = 2

• n = 1

• n = 3

What is the result of substituting n = 3 into the inequality?

• 11 is greater than 8

• 11 is not comparable to 8

• 11 is less than 8

• 11 is equal to 8

What is the second value of n used to verify the solution?

• n = 6

• n = 7

• n = 4

• n = 5