Find the union of x- (70/x) < -3

A graph shows the inequality to be true for

... (x < -10) ∪ (0 < x < 7)

or, in interval notation

... (-∞, -10) ∪ (0, 7)

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If you add 3 and multiply the inequality by x, you get

... x² +3x -70 < 0

... (x +10)(x -7) < 0

Ordinarily, this would have solution -10 < x < 7, but multiplying by x we have to change the sense of the inequality when x < 0. This makes the solution be as shown above.

the law of definite proportions states samples of a compound will always contain the same proportion of elements by mass. in other words, a given compound will always contain the same elements in the same proportions by mass.the law of multiple proportions states when two elements combine with each other to form more than one compound, then the weights of one element that combine with a fixed weight of the other are in a ratio of small whole numbers.