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Question

Question 1
Consider the inequality:

y−14<−25

Which step is needed to solve this inequality?

(1 point)
Responses

Add 14 to both sides of the inequality.
Add 14 to both sides of the inequality.

Subtract 14 from both sides of the inequality.
Subtract 14 from both sides of the inequality.

Multiply 14 on both sides of the inequality.
Multiply 14 on both sides of the inequality.

Divide 14 on both sides of the inequality.
Divide 14 on both sides of the inequality.
Question 2
Determine the solution to the inequality.(1 point)
Responses

y<−350
y<−350

y<−1.79
y<−1.79

y<−39
y<−39

y<−11
y<−11
Question 3
How should the solution of the inequality be graphed?(1 point)
Responses

Open circle, shade right
Open circle, shade right

Open circle, shade left
Open circle, shade left

Closed circle, shade right
Closed circle, shade right

Closed circle, shade left
Closed circle, shade left
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page 4 of 4

Answer 1

Let's go through each question step-by-step.

Question 1

To solve the inequality \( y - 14 < -25 \), you need to isolate \( y \). This is done by adding 14 to both sides of the inequality.

Response: Add 14 to both sides of the inequality.

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Question 2

After adding 14 to both sides, you will have: \[ y < -25 + 14 \] Calculating the right side: \[ y < -11 \]

Response: \( y < -11 \)

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Question 3

The solution \( y < -11 \) indicates that \( y \) can take any value less than -11. This is represented graphically with an open circle at -11 (indicating that -11 is not included in the solution) and shading to the left (indicating values less than -11).

Response: Open circle, shade left

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Summarized Answers:

1. Add 14 to both sides of the inequality.
2. y < -11
3. Open circle, shade left