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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<−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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page 4 of 4

Answer 1

Let's break down each question step-by-step:

Question 1

Consider the inequality: \[ y - 14 < -25 \]

To solve this inequality, we need to isolate \( y \). The appropriate step is: Add 14 to both sides of the inequality.

Question 2

Now let's solve the inequality:

1. From the original inequality \( y - 14 < -25 \)
2. Adding 14 to both sides gives us: \[ y - 14 + 14 < -25 + 14 \] \[ y < -11 \]

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 graphing this inequality:

• You would use an open circle at -11 (since -11 is not included in the solution).
• You would shade left to represent all the values less than -11.

The correct way to graph the solution is: Open circle, shade left.

Summary of Responses:

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