Question

Solve the inequality. Graph and check your solutions.
yplus7less thannegative 5
Question content area bottom
Part 1
Choose the correct answer below.
A.
ygreater than2
B.
ygreater thannegative 12
C.
yless thannegative 12
D.
yless than2

Answer 1

To solve the inequality \( y + 7 < -5 \), we will first isolate \( y \).

1. 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.

If you have additional questions or need further assistance, let me know!