Solve x≤0 or x≥−4 and write the solution in interval notation.

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Explanation:

Draw out a number line. Plot 0 and -4 on the number line.

Shade to the left of x = 0, and have a filled in circle at the endpoint. This is the graph of

Then graph by plotting a filled in circle at -4, and shading to the right.

Note how the two graphs overlap to cover the entire real number line

So if we have then we're basically saying x is any real number. To write this in interval notation, we write

This is the interval from negative infinity to positive infinity (or just infinity). We exclude each endpoint because we can't actually reach infinity itself. Infinity is not a number. Infinity is a concept.

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Side note: if you change the "or" to "and", then the solution to would be to indicate the interval from x = -4 to x = 0, including both endpoints. This is the region where the two graphs overlap.

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

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only 10/60 isn't equivalent

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