2 of 62 of 6 Items

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<1.79
y<1.79

y<11
y<11

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
Skip to navigation

page 14 of 14

Answer 1

Let's analyze and answer the questions step-by-step.

Question 1:

We have the inequality:

\[ y + 14 < 25 \]

To solve this inequality, we need to isolate \( y \). The correct step is to subtract 14 from both sides of the inequality.

Answer:

• Subtract 14 from both sides of the inequality.

Question 2:

After performing the subtraction, we have:

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

So the solution to the inequality is:

Answer:

• y < 11

Question 3:

The inequality \( y < 11 \) means that \( y \) can take any value less than 11. When graphed on a number line, we use an open circle at 11 (indicating that 11 is not included in the solution) and shade to the left (indicating all numbers less than 11).

Answer:

• Open circle, shade left

Summary of Answers:

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