Understanding Inequalities and Integer Values

The video tutorial by Maths with Jay covers solving a two-part mathematical problem. Part A involves solving an inequality by subtracting and dividing, followed by checking the solution. Part B extends the solution to find integer values that satisfy a similar inequality, focusing on negative integers. The tutorial emphasizes step-by-step problem-solving and verification.

What is the first step in solving the inequality 2y + 11 ≥ 2?

• Add 11 to both sides

• Divide both sides by 2

• Subtract 11 from both sides

• Multiply both sides by 2

After subtracting 11 from both sides, what is the resulting inequality?

• 2y ≤ 9

• 2y ≥ 9

• 2y ≤ -9

• 2y ≥ -9

What operation is performed after obtaining 2y ≥ -9?

• Add 9 to both sides

• Subtract 9 from both sides

• Multiply both sides by 2

• Divide both sides by 2

What is the value of y after dividing both sides by 2?

• y ≥ -4.5

• y ≤ -4.5

• y ≤ 4.5

• y ≥ 4.5

What value of y is used to check the equality condition?

• -9

• 0

• -4.5

• 4.5

What is the result of 2y + 11 when y = -4.5?

• 0

• -9

• 2

• 11

What is the next step after checking the equality condition?

• Check a value equal to 4.5

• Check a value less than -4.5

• Check a value greater than -4.5

• Check a value equal to 0

What is the value of 2y + 11 when y = 0?

• 2

• 0

• -9

• 11

In Part B, what type of number is N specified to be?

• Positive integer

• Negative fraction

• Negative integer

• Positive fraction

What inequality must N satisfy in Part B?

• N ≥ -4.5

• N ≤ -4.5

• N > -4.5

• N < -4.5