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

Find two numbers `x, y` such that `|x+y|=|x|+|y|`

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V PUBLICATION-REAL NUMBERS-QUESTIONBANK
  1. Prove that if 1ltxlt4 and 1ltylt4, then |x-y|lt3

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. If mid x-2]=|x-6|, what is x ? ' If |y-3|=mid y+1], what is y ? What...

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  20. A circle is drawn with B as centre. The circie is passing through the ...

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