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

4027 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

solve (5 - x)/2 = 2x - 7 to find the value of x


Expand (t+5)(t-2)


There are 5 cards in order from smallest to largest, _ _ _ _ 8. The range is 6, the median is 6, the mode is 2, and the mean is 5. Find the numbers missing on the 4 blank cards.


Factorise 2x^3=10x+12x^2


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