Question

Solve for 6xsquare-x-2<0​

Answer 1

`(-1)/(2) <x<(2)/(3)`

Explanation:

6x² - x - 2 < 0

6x² - 4x + 3x - 2 < 0

(6x² - 4x) + (3x - 2) < 0

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

(3x - 2)(2x + 1) < 0

`\left \{ {{3x - 2<0} \atop {2x + 1>0}} \right.`

`\left \{ {{3x<2} \atop {2x>-1}} \right.`

`\left \{ {{x<(2)/(3) } \atop {x>(-1)/(2) }} \right.`

Answer 2

• -x-2<0
• -x=2
• x= -2

hope it helps.