Determine in each of the following problems the set of values of x for which the given inequality is true - Maths - Quadratic Equations

Question

Determine in each of the following problems the set of values of x
for which the given inequality is true

Anuradha Sharma · Accepted Answer

Dear Student, x2+4x+12>0 Now D = 16-48<0 Since D is less than zero so it will always be positive and each value of x will satisfySo answer is x∈R 2)x2-7x+122x2+4x+5>0 Since D for 2x2+4x+5=0 is D = 16-40 <0 So it will always be positive andhence we can cross multiply, x2-7x+12>0 x2-4x-3x+12>0 xx-4-3x-4>0 x-4x-3>0 x ∈-∞, 3∪4,∞Regards

Determine in each of the following problems the set of values of x for which the given inequality is true.