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QUIZ 2: The set of real numbers and and
absolute value
MQ5 home Quiz 1
Quiz 3
MQ5 QUEST 2A (answers
below)
Mr. Gary Jaye
INSTRUCTIONS: 1. Express all compound inequalities with AND, OR, or in "a
< x < b" form.
2. Express all answers in simplest form.
| In 1 to 4, fill in the answer. [2 each] |
1. The apparent solutions of an absolute value equation
problem should be checked against the:
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| 2. The decimal of a rational number is:
_________________ _______ __________________ . |
4. In a computer programming language (which
uses standard order of operations) in which the symbol ^
indicates exponentiation, -3 ^ 2 equals: ? |
| 3. The geometrical interpretation of |x -
9| = 2 is that _____ is _____ units from ______ on the number line. |
| In 5 to 11, express the set as SUCCINCTLY as possible. [2
each] |
5. {x: x > 5 and x > 8}
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9. -| x | = 5
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6. {x: x > 5 or x > 8}
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10. | x | < -5
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7. {x: x < 5 and x > 8}
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11. | x | > -5
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8. | -x | = 5
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PART II: Show ALL
Work on Test Paper and Box Answers
| 12. Solve, graph, and express solution as a set. [9] |
13. Solve, graph, and express solution as a set. [9] |
| 2x + 3 | < 7 |
-2| 5 -
x | < -18 |
| 14. Solve (and check) and express solution as a set. [10 pts] |
CHECK |
| x - 1 | + 3 = 2x
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ANSWERS: 1.
original equation 2. terminating OR repeating 3. x is 2
units from 9 4. -9 5. {x: x > 8}
6. {x: x > 5} 7. {} 8. {±5}
9. {} 10. {} 11. R 12.
{x: -5 < x < 2} 13. {x: x < - 4 OR x > 14}
14. reject 4/3 therefore {2}
MQ5 home Quiz
1 Quiz 3
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