Solve the quadratic inequality: x^2 - 5x + 4 < 0

x2-5x+4 <0First we ignore the inequality and try to solve the equation x2-5x+4=0, which we do via factorising (x-4)(x-1)=0. x = 4 or x=1We draw the graph using our solution, going through the points on the x axis.We look at where the graph goes underneath the x axis; this is the region where the graph is <0 because the y values are less than 0.The values of x for which the graph goes underneath the x axis is the solution. This is between x=1 and x=4. We write this as 1<x<4, remembering the strict inequality because the question uses a strict inequality. We mustn't deviate from the form of the inequality set by the Q.Problem solved!

Answered by Hariz H. Maths tutor

10108 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Use the substitution u=x^2-2 to find the integral of (6x^3+4x)/sqrt( x^2-2)


Find the coordinates of the minimum point of the curve y = 3x^(2) + 9x + 10


Show that sqrt(27) + sqrt(192) = a*sqrt(b), where a and b are prime numbers to be determined


How do you complete the square?


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences