Question

Can someone please tell me if I did the first one right?

solve the inequality algebraically
10x-8x≥-3x^2
3x² + 10x - 8
3x² - 2x + 12x - 8 = 0
x (3x - 2) + 4 (3x - 2) = 0
The solution set is?
(3x - 2) (x + 4)


70x-51>70/x


are the other finite end points of the interval included in the solution set
solution set if any

Answer 1

10x-8x≥-3x^2 => 3x^2+10x-8x≥0 (factor LHS)

Answer 2

As for the 2nd question, x=0 cannot be part of solution because it will give an undefined answer if it was the case

Answer 3

Okay Thank you so much is the LHS the solution set I am looking for ?

Answer 4

Yes. Btw 1st question x=0 is part of the solution