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To find out which inequality is true, we need to plug in n=4.
And since 8 is really greater than 6, this inequality is true! :)
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7 is not less than 7. So this inequality is false.
5 is not greater than or equal to 13, so this inequality is false
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And 1/3 is not greater than 3, so this inequality is also false.
And since 8 is really greater than 6, this inequality is true! :)
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7 is not less than 7. So this inequality is false.
5 is not greater than or equal to 13, so this inequality is false
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And 1/3 is not greater than 3, so this inequality is also false.
f(x) is the same as y, so we can say y = f(x)
Writing f(x) < 0 means we want to find when y < 0.
Visually, we are looking at the graph when the curve is below the horizontal x axis.
This is the portion in red that I have marked in the diagram (see attached image below). I apologize for the numbers being blurry.
The left red portion is from negative infinity to -3. In terms of a compound inequality we write which in interval notation is
. The curved parenthesis tells the reader to exclude both endpoints.
The right red portion is from x = -1.1 to x = 0.9, excluding both endpoints. So we say which becomes the interval notation
. This is not ordered pair notation even though it looks identical to it.
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<h3>Answer in interval notation:The "U" means "set union" which glues together the two separate intervals. Basically it's saying "x is either in the interval (-infinity, -3) or it is in the interval (-1.1, 0.9)"
