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Find all real number x which satisfy the inequality \(\frac{1}{3}\) (x + 1) - 1...

Mathematics
JAMB 2020

Find all real number x which satisfy the inequality \(\frac{1}{3}\) (x + 1) - 1 > \(\frac{1}{5}\)(x + 4) 

  • A. x < 11
  • B. x < -1
  • C. x > 6
  • D. x > 11
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Correct Answer: Option D
Explanation

\(\frac{1}{3}\) (x + 1) - 1 > \(\frac{1}{5}\)(x + 4)  = \(\frac{x + 1}{3} - 1\) > \(\frac{x + 4}{5}\) 

\(\frac{x + 1}{3} - \frac{x + 4}{5} -1\) > 0 

= \(\frac{5x + 5 - 3x - 12}{15}\) 

2x - 7 > 15

2x > 22 = x > 11

There is an explanation video available below.


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Explanation Video

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WAEC offline past questions - with all answers and explanations in one app - Download for free
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709