solve the inequality x13x214x8 or to 0SolutionSolution x

solve the inequality: (x+1)(3x²-14x+8) < or = to 0

Solution:

==> (x + 1)(3x² - 14x + 8) 0

==> (x + 1)(3x² - 12x - 2x + 8) 0

==> (x + 1){3x(x - 4) - 2(x - 4)} 0

==> (x + 1)(3x - 2)(x - 4) 0

Choosing range that satisfy the required condition 0

(x + 1) 0 ==> x -1

(3x - 2) 0 ==> x 2/3

(x - 4) 0 ==> x 4

So, x -1 and 2/3 x 4