Question

Complement of a set

`3x^(2) - 2x - 8 \geqslant 0`
is?

Answer 1

`3x^2-2x-8 \geq 0`


`(x-2)(3x+4) \geq 0`


`3x+4\geq 0 \mbox{ and } x-2\geq 0`


`x\leq -(4)/(3) \mbox{ or } x\geq 2`

the complement of this set is:


`-(4)/(3) \ \textless \ x \ \textless \ 2`