Question 1

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<1.79
y<1.79

y<11
y<11

y<350
y<350

y<39
y<39
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 14 of 14

Answer 1

Let's go through the questions step by step.

Question 1: To solve the inequality \( y + 14 < 25 \), you need to isolate \( y \). The appropriate step is:

• Subtract 14 from both sides of the inequality.

Question 2: After subtracting 14 from both sides, you have:

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

So, the solution to the inequality is:

• y < 11

Question 3: The solution \( y < 11 \) means that \( y \) can take any value less than 11. When graphed, this would be represented with an open circle at 11 (indicating that 11 is not included) and shading to the left to show all the values less than 11.

So, the correct way to graph the solution is:

• Open circle, shade left

To summarize:

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