Find the values of a if 2a - 5 <  5(a-1)

Expert Answers

An illustration of the letter 'A' in a speech bubbles

We have to solve 2a-5 <  5(a-1) for a.

2a-5 <  5(a-1)

open the brackets

=> 2a - 5 < 5a - 5

=> 2a - 5a < -5 + 5

=> -3a < 0

=> -a < 0

=> a > 0

Therefore a > 0

Approved by eNotes Editorial Team
An illustration of the letter 'A' in a speech bubbles

Given the inequality:

2a -5 < 5 (a-1)

We need to find all values of a that satisfies the inequality.

First we will open the brackets.

==> 2a -5 <5a -5

==> Now we will combine like terms.

==> 2a -5a < -5 + 5

==> -3a < 0

==> a > 0

Then the values of a that satisfies the inequality are when a is positive.

==> a belongs to the interval (0, inf )

 

 

Approved by eNotes Editorial Team
Soaring plane image

We’ll help your grades soar

Start your 48-hour free trial and unlock all the summaries, Q&A, and analyses you need to get better grades now.

  • 30,000+ book summaries
  • 20% study tools discount
  • Ad-free content
  • PDF downloads
  • 300,000+ answers
  • 5-star customer support
Start your 48-Hour Free Trial