How do you solve #2x^2 + 7x + 2 >=0#?
ALL inequalities can be solved by first solving the equality arnd THEN insuring that the range of the final answer matches the limits and direction of the inequality.
In this case, use the Quadratic Equation to solve for 'x' in:
2x^2 + 7x + 2 = 0
Then your answer will be x >= 'x'.