Consider the inequality:

Question

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<39
y<39

y<350
y<350

y<1.79
y<1.79

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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Answer 1

Let's go through your questions step by step.

Question 1: Which step is needed to solve the inequality y + 14 < 25?

To isolate \( y \), you should subtract 14 from both sides of the inequality:

Response: Subtract 14 from both sides of the inequality.

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Question 2: Determine the solution to the inequality y + 14 < 25.

After subtracting 14 from both sides, the inequality becomes:

\[ y < 25 - 14 \] \[ y < 11 \]

Response: y < 11

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Question 3: How should the solution of the inequality be graphed?

Since \( y < 11 \), you would use an open circle on 11 (indicating that 11 is not included in the solution) and shade to the left to represent all values less than 11.

Response: Open circle, shade left

So, the answers to your questions are:

1. Subtract 14 from both sides of the inequality.
2. y < 11
3. Open circle, shade left.