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The longest side of a triangle is 3 time...

The longest side of a triangle is 3 times the shortest side and the third side is 2 cm shorter than the longest side. If the perimeter of the triangle is at least 61 cm, find the minimum length of the shortest side.

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The correct Answer is:
The minimum length of the shortest side =x=9 cm
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NEW JOYTHI PUBLICATION-LINEAR INEQUALITIES-QUESTIONS FROM COMPETITIVE EXAMS
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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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