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

9113 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find the roots of the equation y=x^2-8x+5 by completing the square.


Differentiate cos(2x^3)/3x


find the exact solution to the following equation: ln(x) + ln(3) = ln(6)


f(x) = e^(sin2x) , 0 ≤ x ≤ pi (a). Use calculus to find the coordinates of the turning points on the graph of y = f(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