Question

Solve for x. Enter your answer in interval notation using grouping symbols.
x^2+5x<24

Answer 1

first solve the equation
x^2 + 5x - 24 = 0
to get the critical points

Answer 2

to do this you need to find 2 numbers whose product is -24 and whose sum is +5
this will give you the equation
( x + a )(x - b) = 0 where a and -b are the 2 numbers

Answer 3

I don't even have a calculator,

Answer 4

you don't need a calculator - the 2 numbers are whole numbers between - 10 and + 15

Answer 5

* between -5 and +10