Question

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<39
y<39

y<11
y<11

y<1.79
y<1.79

y<350
y<350
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 the questions step by step.

**Question 1: Which step is needed to solve this inequality?**

The inequality given is:
\[ y + 14 < 25 \]

To isolate \( y \), you need to eliminate the \( +14 \) from the left side. Therefore, you should:

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

**Correct response:** Subtract 14 from both sides of the inequality.

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**Question 2: Determine the solution to the inequality.**

After subtracting 14 from both sides, we have:
\[ y + 14 - 14 < 25 - 14 \]

This simplifies to:
\[ y < 11 \]

**Correct response:** y < 11

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

Since the solution is \( y < 11 \), which means that \( y \) can take any value less than 11 but not equal to 11, you would use:

- An **open circle** on 11 (indicating that 11 is not included)
- Shade to the **left** to show all values less than 11.

**Correct response:** Open circle, shade left

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So, the answers for the three questions are:
1. Subtract 14 from both sides of the inequality.
2. y < 11
3. Open circle, shade left