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How to work out 2x^2-7x-4<0

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Answer:

See below

Explanation:

The parabola defined by 2x^2 - 7x - 4 is being restricted by the condition that all solutions must be less than zero. If we write this as an equation:

y = 2x^2 - 7x - 4,

it tells us that y will always be less than zero. or 2x^2 - 7x - 4 < 0

This can be graphed (see attachment). We find a very lonely part of a parabola. The only solutions are those on the line that is visible, despite the lofty expectations of the x^2 member of this function. The fact that this is written as <0 and not as ≤0, means that even the two points where the curve touches the x axis are even excluded. Insult to injury (the metric term).

How to work out 2x^2-7x-4<0-example-1

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