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A man wants to cut three lengths from a single piece of board of length 91 cm. The second length is to be 3cm longer than the shortest and the third length is to be twice as long as the shortest. What are the lengths of the shortest board if the third piece is to be at least 5 cm longer than the second ?

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The correct Answer is:
The value of x must be greater than or equal to 8 but less than or equal to 22 cm.
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A man wants to cut three lengths from a single piece of board of length 91 cm. The second length is to be 3cm longer than the shortest and the third length is to be twice as long as the shortest. What are the possible length of shortest board if the third piece is to be at least 5cm longer than the second?

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NEW JOYTHI PUBLICATION-LINEAR INEQUALITIES-QUESTIONS FROM COMPETITIVE EXAMS
  1. A man wants to cut three lengths from a single piece of board of lengt...

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  2. The set of all x satisying the inequility (4x-1)/(3x+1) ge 1 is

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  3. The set of values of x satisfying 2 le | x-3| lt 4 is

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  4. Number of integral solutions of (x+2)/(x^2 + 1) gt 1/2 is

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  5. If r is a real number |r| lt 1 and if a= 5(1-r) , then

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  6. Suppose a,b and c are real numbers such that a/b gt 1 and a/c lt 0 . W...

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  7. If x^2 + 2x + n gt 10 for all real number x, then which of the followi...

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  8. The set of admissible value of x such that (2x+3)/(2x-9) lt 0 is

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  9. If x satisfies the inequations 2x - 7 lt 11 , 3x + 4 lt -5 , then x l...

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  10. The set of all real x satisfying the inequality (3-|x|)/(4-|x|) ge 0 i...

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  11. The solution set of the inequation (x+11)/(x-3) gt 0 is

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  12. If 3 le 3t - 18 le 18 , then which one of the following is true ?

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  13. If |2x-3| lt |x+5| , then x lies in the interval

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  14. The solution of (x+3)/(x-2) le 2 is

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  15. If (2x+3)/(5) lt (4x-1)/(2) , then x lies in the interval

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  16. If 7x-2lt 4 - 3x and 3x-1 lt 2 + 5x , then x lies in the interval

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  17. If x satisfies the inequalities x+7 le 2x + 3 and 2x+4 lt 5x + 3 , th...

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  18. The set of point (x,y) satisfying x+y le 1 , -x-yle 1 lie in the regio...

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  19. The number of solutions of the inequation |x-1| + |x+2| lt 4 is

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  20. The shaded region shown in the figure is given by the inequations

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  21. The set of all x satisying the inequility (4x-1)/(3x+1) ge 1 is

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