Question

"For each value of y, determine whether it is a solution to the inequality 2y - 1 > 13. Is it a solution?

1. y = 7
- Yes

2. y = -1
- No

3. y = Olololo
- Invalid input

4. y = 2
- No

5. y = 9
- Yes

6. y = ?
- Invalid input"

Answer 1

The student's task is to verify whether certain values of y are solutions to the inequality 2y - 1 > 13.

Step-by-step explanation:

After substituting each numerical value of y into the inequality, the correct answers are determined: y = 7 (No), y = -1 (No), and y = 9 (Yes). Non-numerical values labeled as 'Invalid input' cannot be evaluated.

The student's question involves determining whether a given value of y is a solution to the inequality 2y - 1 > 13. To find this out, you substitute the values of y into the inequality and see if it holds true.

1. y = 7: After substituting, we get 2(7) - 1 > 13, which simplifies to 14 - 1 > 13, and hence 13 > 13. Since 13 is not greater than 13, the correct answer should be No, not Yes.
2. y = -1: Plugging it into the inequality, we get 2(-1) - 1 > 13, simplifying to -2 - 1 > 13, and hence -3 > 13, which is not true. So, No is the correct answer.
3. y = 9: By substitution, 2(9) - 1 > 13 turns into 18 - 1 > 13, and thus 17 > 13, which is true. Therefore, Yes is the correct answer.

For the values labeled as 'Invalid input', we cannot evaluate them as they are not numerical values that can be used in the inequality.