solve the inequality algebraically

Question

7x-6 less than or equal to 3x^2

please show work

Answer 1

3x^2>7x-6

3 x^2 - 7 x + 6 > 0

parabola upright(holds water)
zeros at 7/6 +/- (1/6)sqrt(49-36)

7/6 +/ - (1/6)sqrt(13)

so
x< 7/6 - (1/6) sqrt 13
or
x> 7/6 + (1/6) sqrt 13

Answer 2

good, except it's ≤, not <