Question

What is the solution set of 2x^2 - x < 15?

Answer 1

start with
\[2x^2-x-15<0\] then factor

Answer 2

once you find the zeros from factoring, you know you have a parabola that faces up, and so it will be negative between the zeros.
can you factor this one?

Answer 3

um x / x <-5/2 or x > 3

Answer 4

hello?

Answer 5

hold on

Answer 6

k!

Answer 7

\[(x-3) (2 x+5)\] so zeros are \(-\frac{5}{2}\) and 3

Answer 8

it is negative between the zeros, so \(-\frac{5}{2}<x<3\) is our solution