To solve the inequality \( y + 7 < -5 \), we will first isolate \( y \).
- Subtract 7 from both sides: \[ y < -5 - 7 \] \[ y < -12 \]
So the solution to the inequality is \( y < -12 \).
Now let's check the answer choices given:
A. \( y > 2 \) (not correct) B. \( y > -12 \) (not correct) C. \( y < -12 \) (correct) D. \( y < 2 \) (not correct)
The correct answer is C. \( y < -12 \).
To graph this solution, you would draw a number line, place an open circle at -12 (since -12 is not included in the solution), and shade to the left of -12 to indicate all values less than -12.
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