Question

List five integer solutions of the inequality:

|y| > -7∣y∣>−7

Select five integer solutions of the inequality:

A. 20

B. 0.625

C. -6

D. -17

E. -0.7

F. 14

Answer 1

The inequality |y| > -7 is satisfied by any integer since the absolute value of any number is nonnegative. The integer solutions from the given options are 20, -6, -17, and 14. Non-integer solutions provided in the option list, such as 0.625 and -0.7, are not considered.

Step-by-step explanation:

The inequality in question is |y| > -7. This is a bit of a trick question because the absolute value of any number is always nonnegative, which means it is always greater than any negative number. Therefore, any integer is a solution to this inequality. However, we need to select the integer solutions from the given options.

Considering the options given:

• A. 20 is an integer and therefore is a solution.
• C. -6 is an integer and is a solution.
• D. -17 is an integer and is a solution.
• F. 14 is an integer and is a solution.

Options B (0.625) and E (-0.7) are not integers and thus are not valid choices based on the requirements of the question. So, the integer solutions to the inequality from the options provided are 20, -6, -17, and 14. Since the inequality will hold true for any integer, you could also argue that 0 is a possible answer, as it is not listed but it is an integer.