Solve the inequality 􏰂|2x + 1|􏰂 < 3|􏰂x − 2|􏰂.

(2x+1)2 < 9(x-2)24x2+4x+1 < 9(x2-4x+4)4x2+4x+1 < 9x2-36x+360 < 5x2-40x+35Apply quadratic equation solving formula (40+30)/10=7 and (40-30)/10=1hence x<1 and x>7

AT
Answered by Alejandra T. Maths tutor

9455 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Let z=x+yi such that 16=5z - 3z*, What is z?


How do I work out the equation of a tangent line to a curve?


A curve has equation y = 3x^3 - 7x + 10. Point A(-1, 14) lies on this curve. Find the equation of the tangent to the curve at the point A.


How can I remember trig identities?


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:

© 2026 by IXL Learning