Solve the inequalities x2 5x 6 Solutione x2 5x 6 0 x2

Solve the inequalities: x^2 - 5|x| + 6

e) x^2 - 5|x| + 6 <0

for x> 0 ; x^2 - 5x + 6 <0

(x- 3)(x -2) <0

for x <0 ; x^2 + 5x + 6

(x+3)(x+2) <0

Solution : ( -3, -2) U ( 2, 3)

f) 81 - (3+2x)^2 < 0

-4x^2 -12x + 72 < 0

-x^2 - 3x + 18 <0

(x -3)( x+ 6) >0

( - inf , -6) U ( 3, inf)