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Prove that if 1ltxlt4 and 1ltylt4, then ...

Prove that if `1ltxlt4` and `1ltylt4`, then `|x-y|lt3`

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V PUBLICATION-REAL NUMBERS-QUESTIONBANK
  1. Find three points at equal distance between the points on the number I...

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  2. Find those x satisfying each of the equations below: i)|x-1|=|x-3| ii)...

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  3. Prove that if 1ltxlt4 and 1ltylt4, then |x-y|lt3

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  4. Prove that if xlt3 and ygt7, then |x-y|>4

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  5. Find two numbers x, y such that |x+y|=|x|+|y|

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  6. Are there numbers x, y such that |x+y|lt|x|+|y| ?

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  7. Are there numbers x, y such that |x+y|gt|x|+|y| ?

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  8. What are the numbers x, for which |x-2|+|x-8|=6 ?

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  9. What are the numbers x, for which |x-2|+|x-8|=10 ?

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  10. Find the distance between each pair of numbers given below on the numb...

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  11. If |a+1|=|a+5|,|b-2|=|b-6|, and |a-x|=|b-x| then what is the value of ...

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  12. If x is on the number line to the of 3 and |x-3|=0 thenbr a. What is ...

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  13. The absolute value of the difference of two numbers is 4 . If one numb...

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  14. The end points of one side of an equilateral triangle are -2 and 4 on ...

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  15. a) What is the number which gives midpoints of the points denoted by t...

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  16. What are the number x which satisfy the equation |x-2|+|x-6|=4 ?

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  17. x is a number on the number line. What is the relation of the distance...

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  18. a) In the number line, what is the distance between the points represe...

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  19. a) If |x-2|=3, then what is x ? b) If |x-2|=|x-8|, then what is |x-2|...

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  20. a) If x=5, y=-3, find |x+y|,|x|+|y| ? b) Write the numbers x and y sa...

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