Solve the given inequality for real x: 4x + 3 < 5x + 7,

+1 vote
24 views
asked Feb 17, 2018 in Mathematics by sforrest072 (157,439 points) 63 448 1279
Solve the given inequality for real x: 4x + 3 < 5x + 7

1 Answer

+1 vote
answered Feb 17, 2018 by mdsamim (213,225 points) 5 10 22
selected Feb 17, 2018 by sforrest072
 
Best answer

4x + 3 < 5x + 7
⇒ 4x + 3 – 7 < 5x + 7 – 7
⇒ 4x – 4 < 5x
⇒ 4x – 4 – 4x < 5x – 4x
⇒ –4 < x

Thus, all real numbers x, which are greater than –4, are the solutions of the given inequality.
Hence, the solution set of the given inequality is (–4, ∞).

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

One Thought Forever

“There is a close connection between getting up in the world and getting up in the morning.“
– Anon
~~~*****~~~

...