Ask a Question

Solve the inequality 6 ≤ –3(2x – 4) < 12.

← Prev Question Next Question →
0 votes
15 views
asked Feb 19, 2018 in Mathematics by sforrest072 (157,439 points) ● 61 ● 410 ● 941
Solve the inequality 6 ≤ –3(2x – 4) < 12

1 Answer

0 votes
answered Feb 19, 2018 by mdsamim (213,225 points) ● 5 ● 10 ● 15
selected Feb 19, 2018 by sforrest072
 
Best answer

6 ≤ – 3(2x – 4) < 12
⇒ 2 ≤ –(2x – 4) < 4
⇒ –2 ≥ 2x – 4 > –4
⇒ 4 – 2 ≥ 2x > 4 – 4
⇒ 2 ≥ 2x > 0
⇒1 ≥ x > 0

Thus, the solution set for the given inequality is (0, 1].

← Prev Question Next Question →

Related questions

+1 vote
1 answer
Solve the inequality 6 ≤ –3(2x – 4) < 12
asked Feb 17, 2018 in Mathematics by sforrest072 (157,439 points)
+1 vote
1 answer
Solve the inequality -12<4 -3x/-5 ≤ 2
asked Feb 17, 2018 in Mathematics by sforrest072 (157,439 points)
+3 votes
1 answer
Solve the inequalities in 6 ≤ – 3(2x – 4) < 12
asked Dec 28, 2016 in Mathematics by Rohit Singh (61,782 points)

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
~~~*****~~~

Related questions

© 2017 Sarthaks eConnect
Managed by Sarthaks Digitizing India
...