solve the inequality and represent it in number line 5-4x/3x2-x-4 4 - Maths - Linear Inequalities

Question

solve the inequality and represent it in number line
5-4x/3x​2-x-4<4

Ishwarmani · Accepted Answer

Dear Student, Please find below the solution to the asked query: We have,5-4x3x2-x-4<4⇒5-4x3x2-x-4-4<0⇒5-4x-12x2+4x+163x2-x-4<0⇒-12x2+213x2-4x+3x-4<0⇒-34x2+7x3x-4+13x-4<0⇒4x2+73x-4x+1>0If 4x2+7=0 or 3x-4=0 or x+1=0, then4x2+7>0, x=43, x=-1

So, x∈-∞,-1∪43,∞ Regards

solve the inequality and represent it in number line 5-4x/3x​2-x-4<4

solve the inequality and represent it in number line 5-4x/3x²-x-4<4