SOLUTION: How many integers satisfy this inequality: 2 \cdot x^{2}+5 \cdot x-12<0

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Question 908572: How many integers satisfy this inequality: 2 \cdot x^{2}+5 \cdot x-12<0
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Looks like the function is negative between x=-4 and x=2.
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C2x%5E2%2B5x-12%29
Check to see if x=-4 satisfies the inequality.
graph%28300%2C300%2C-5%2C3%2C-4%2C4%2C2x%5E2%2B5x-12%29
2x%5E2%2B5x-12%3C0
2%28-4%29%5E2%2B5%28-4%29-12%3C0
2%2816%29-20-12%3C0
32-32%3C0
0%3C0
No, so x=-4 is not in the solution set.
x=-3
x=-2
x=-1
x=0
x=1
5 integers in total