Absolute Value with a number in front?

Click For Summary

Discussion Overview

The discussion revolves around the interpretation and solution of an inequality involving absolute value, specifically the expression 2|3x+5| < 16. Participants explore how to handle the absolute value when a coefficient is present.

Discussion Character

  • Homework-related

Main Points Raised

  • One participant expresses confusion about the presence of a number in front of the absolute value and seeks guidance on solving the inequality.
  • Another participant suggests that the expression can be viewed as multiplication, interpreting it as 2*(|3x+5|).
  • A subsequent reply proposes that this leads to the equivalent expression |6x + 10| < 16.
  • Alternatively, another participant suggests that the inequality can also be expressed as |3x+5| < 8.

Areas of Agreement / Disagreement

There is no clear consensus on the interpretation of the original inequality, as participants propose different equivalent forms without resolving which is the preferred approach.

xilcc
Messages
2
Reaction score
0
Alright, I'm completely confused. I was given a study guide for my Algebra 2 exam(this isn't homework...) and one of the questions was

2|3x+5| < 16

I've seen the absolute value, but never seen a number in front of it...How do I solve this ?
 
Mathematics news on Phys.org
xilcc said:
Alright, I'm completely confused. I was given a study guide for my Algebra 2 exam(this isn't homework...) and one of the questions was

2|3x+5| < 16

I've seen the absolute value, but never seen a number in front of it...How do I solve this ?

It's just multiplication. like 2*(|3x+5|)
 
berkeman said:
It's just multiplication. like 2*(|3x+5|)

so it's |6x + 10| < 16?
 
Or |3x+5| &lt; 8
 

Similar threads

  • · Replies 12 ·
Replies
12
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
4
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 7 ·
Replies
7
Views
2K
Replies
11
Views
3K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 3 ·
Replies
3
Views
10K
  • · Replies 10 ·
Replies
10
Views
3K
  • · Replies 18 ·
Replies
18
Views
2K