Simplifying Absolute Value Express the quantity without using absolute value.a+b+|a-b|,where a<b

Annette Arroyo 2020-12-24 Answered

Simplifying Absolute Value Express the quantity without using absolute value.
a+b+|ab|,where a<b

You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

timbalemX
Answered 2020-12-25 Author has 108 answers

Given:
The value of a is less than value of b.
Calculation:
The absolute value of a real number x is,
{x, if x0x, if x<0
The value of a is less than b, so the subtraction will result in a negative value.
|ab|=(ab)=ba (1)
Use the value of |ab| from equation (1), the quantiny a+b+|ab| is,
a+b+|ab|=a+b+ba=2b
The quantity a+b+|ab| without using the absolute value is 2b.

Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more