Inequalities

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4 Terms

1
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What is the triangle inequality?

| x + y | ≤ | x | + | y | (the distance from 0 to x + y is no more than the distance to x + the distance to y)

2
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How to draw inequalities on a number line?

  • Solid dot = endpoint included (less than or equal to, greater than or equal to)

  • Open circle = endpoint excluded (less than or greater than)

3
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How to write sets as intervals?

Use open brackets () if the endpoints are not included or closed brackets [] if the endpoints are included

4
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What is | x |?

The distance from x to 0