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Set 1.2
Questions
40, 42, 44, 46, 48
David Cohen
Rewrite each statement using absolute value notation.
40. The distance between x and 1 is less than 1/2.
| x - 1 | < 1/2
42. The distance between x and 1 exceeds 1/2.
| x - 1 | > 1/2
44. The distance between x^3 and -1 is at most 0.001.
| x^3 -(-1) |<= 0.001
| x^3 + 1 | <= 0.001
46. The number y is less than one unit from the number t.
| y - t | < 1
48. The sum of the distances of a and b from the origin is greater than or equal to the distance of
a + b from the origin.
| a + b | => | a + b - 0 |
| a + b | => | a + b |
You say?
Questions
40, 42, 44, 46, 48
David Cohen
Rewrite each statement using absolute value notation.
40. The distance between x and 1 is less than 1/2.
| x - 1 | < 1/2
42. The distance between x and 1 exceeds 1/2.
| x - 1 | > 1/2
44. The distance between x^3 and -1 is at most 0.001.
| x^3 -(-1) |<= 0.001
| x^3 + 1 | <= 0.001
46. The number y is less than one unit from the number t.
| y - t | < 1
48. The sum of the distances of a and b from the origin is greater than or equal to the distance of
a + b from the origin.
| a + b | => | a + b - 0 |
| a + b | => | a + b |
You say?