Question Solve the absolute value equation $|4n-15| = |n|$ . The solutions are $n = 3$ and $n = 5$ .

Studdy Solution

STEP 1

Question: What are the possible cases for the equation $|4n-15|=|n|$ ?
A) $4n-15=n$ and $4n-15=-n$ B) $4n-15=n$ and $4n+15=n$ C) $4n-15=n$ and $4n-15=n^2$ D) $4n-15=-n$ and $4n+15=n$
Answer: A) $4n-15=n$ and $4n-15=-n$

STEP 2

Question: Solve the equation $4n-15=n$ for $n$ .
A) $n=3$ B) $n=5$ C) $n=-3$ D) $n=-5$
Answer: B) $n=5$

STEP 3

Question: Does $n=5$ satisfy the condition $4n-15 \geq n$ and $n \geq 0$ ?
A) Yes B) No C) Cannot be determined D) The question is not valid
Answer: A) Yes

STEP 4

Question: Solve the equation $4n-15=-n$ for $n$ .
A) $n=3$ B) $n=5$ C) $n=-3$ D) $n=-5$
Answer: A) $n=3$

STEP 5

Question: Does $n=3$ satisfy the condition $4n-15 < n$ and $n < 0$ ?
A) Yes B) No C) Cannot be determined D) The question is not valid
Answer: B) No

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Parents Influencer program Contact Policy Terms