Add a Given Value: Inequality

The video tutorial explains inequalities and how to determine if a given value makes an inequality true. It covers the use of inequality symbols and provides examples with different variables to illustrate the process of substitution and evaluation. The tutorial concludes by emphasizing that multiple values can satisfy an inequality.

What does the inequality X + 5 < 11 mean?

• X is greater than 6

• X is equal to 6

• X is less than 6

• X is not equal to 6

If X = 7, does it satisfy the inequality X + 5 < 11?

• Yes, because 7 + 5 = 12, which is equal to 11

• No, because 7 + 5 = 12, which is greater than 11

• No, because 7 + 5 = 12, which is not less than 11

• Yes, because 7 + 5 = 12, which is less than 11

For the inequality 7 - T > 15, is T = 3 a valid solution?

• Yes, because 7 - 3 = 4, which is less than 15

• No, because 7 - 3 = 4, which is not greater than 15

• Yes, because 7 - 3 = 4, which is greater than 15

• No, because 7 - 3 = 4, which is equal to 15

Which of the following values for B satisfies the inequality 12 + B ≤ 19?

• B = 10

• B = 9

• B = 7

• B = 8

Why is it important to substitute values into an inequality?

• To simplify the inequality

• To check if a specific value makes the inequality true

• To find the exact value of the variable

• To determine if the inequality is always true