If the inequality is satisfied for all

MATHEMATICS · Single correct · ISC · Mathematics · Algebra · Algebra

Problem

If the inequality

\frac{mx^2+3x+4}{x^2+2x+2}<5

is satisfied for all

x\in\mathbb{R}

, then (1)

1<m<5

(2)

-1<m<5

(3)

1<m<6

(4)

m<\frac{71}{24}