What is the range of solutions for the inequality 2(3x+1) > 3-4x?

When it comes to answering questions about inequalities, it is important to remember the signs and what they represent. In this instance, we need to find a range of solutions where 2(3x+1) is greater than 3-4x. 

To solve this inequality, we need to make x the subject of the inequality. First, we need to expand 2(3x+1) to get 6x+2. Now we have the inequality 6x+2>3-4x. Next we rearrange to make x the subject. By adding 4x to both sides and subtracting 2 from both sides, we get the inequality 10x>1. Finally, we divide both sides by 10 to get x by itself. The simplified inequality is x>1/10. Therefore the answer to the question is the range of solutions for the inequality 2(3x+1)>3-4x is x is greater than 1/10. 

LB
Answered by Lara B. Maths tutor

4071 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Find the value of X when 3x^2 + 6x + 3 = 0


The diagram shows the position of two ships, A and B, and a lighthouse L. Ship A is 5km from L on a bearing of 070° from L. Ship B is 3km from L on a bearing of 210° from L. Find the distance between A and B correct to 3.s.f.


What is the square root of (2^6 + 6^2)


x^2 - 5x - 12 = 2, solve for x


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning