High School

Select the three solutions of the following inequality:

[tex] y \geq -125 [/tex]

Select all that apply.

A. -125
B. -124
C. -127
D. -123
E. -175
F. -126

Answer :

To solve the inequality [tex]\( y \geq -125 \)[/tex], we need to determine which of the given choices satisfy this condition. Let's examine each choice one by one:

- Choice A: -125

[tex]\(-125\)[/tex] is equal to [tex]\(-125\)[/tex]. Since the inequality is [tex]\(\geq\)[/tex] (greater than or equal to), [tex]\(-125\)[/tex] is a solution.

- Choice B: -124

[tex]\(-124\)[/tex] is greater than [tex]\(-125\)[/tex]. Therefore, it satisfies the inequality [tex]\( y \geq -125 \)[/tex].

- Choice C: -127

[tex]\(-127\)[/tex] is less than [tex]\(-125\)[/tex]. Thus, it does not satisfy the inequality [tex]\( y \geq -125 \)[/tex].

- Choice D: -123

[tex]\(-123\)[/tex] is greater than [tex]\(-125\)[/tex]. Therefore, it satisfies the inequality.

- Choice E: -175

[tex]\(-175\)[/tex] is less than [tex]\(-125\)[/tex]. So, it does not satisfy the inequality.

- Choice F: -126

[tex]\(-126\)[/tex] is less than [tex]\(-125\)[/tex]. Thus, it does not satisfy the inequality.

From these examinations, the solutions that satisfy the inequality [tex]\( y \geq -125 \)[/tex] are:

- A. -125
- B. -124
- D. -123

So, the correct answers are A, B, and D.

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