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Solve as directed : x/2 - x/3 + x/5 le 1...

Solve as directed : x/2 - x/3 + x/5 `le` 11/3 for non-negative real numbers.

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x/2 - x/3 + x/5 `le` 11/3
`rArr (15x-10x-6x)/30 le 11/3`
`rArr 11x le (11/3) xx 30`
`rArr 11x le 110
`rArr x le 10
If x is a non negative real number then the solution set is
S = {x:x `in` R and `0 le x le 10`}
= {0, 10 }
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MBD PUBLICATION-LINEAR INEQUALITIES-QUESTION BANK
  1. Solve as directed : 2x + 3 gt x-7 in R

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  2. Solve as directed : x/2 + 7/2 lt 3x-1 in R

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  3. Solve as directed : x/2 - x/3 + x/5 le 11/3 for non-negative real numb...

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  4. Solve as directed : 2(3x-1) lt 7x + 1 lt 3 (2x +1) for real values.

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  5. Solve as directed : 7(x-3) le 4 (x +6 ), for non-negative integral val...

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  6. Solve as directed : Convert to linear inequality and solve for natural...

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  7. Solve in R, x/2 + 1 le 2x - 5 lt x . Also find its solution in N.

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  8. Solve in R and also in Z. (3x+1)/5 ge (x+2)/3- (5-3x)/5

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  9. Solve abs(x-1) gt 1 and represent the solution on the number line.

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  10. Solve in R and represent the solution on the number line. abs(x-5) lt ...

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  11. Solve in R and represent the solution on the number line. x/5 lt (2x +...

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  12. Solve in R and represent the solution on the number line. 2x + 1 ge 0

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  13. Solve in R and represent the solution on the number line. (x-1)/2 le (...

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  14. In a triangle ABC, AB,BC, and CA are x, 3x + 2 and x + 4 units respec...

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  15. The length of one side of a parallelogram is 1 cm. shorter than that o...

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  16. The lengths of the largest side of a quadrilateral is three times that...

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  17. Find all pairs of consecutive odd numbers each greater than 20 such th...

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  18. Find all pairs of even numbers each less than 35, such that their sum ...

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  19. Solve graphically x le y

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  20. Solve graphically 3x + 4y ge 12

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