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Find the smallest value of x for which 5-2x<512-53x, where x is an integer. - Mathematics

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Question

Find the smallest value of x for which `5 - 2x < 5 1/2 - 5/3x`, where x is an integer.

Sum

Solution

`5 - 2x < 5 1/2 - 5/3x`

`-2x + 5/3x< 11/2 - 5`

`(-x)/3 < 1/2`

`-x < 3/2`

`x > (-3)/2`

x > –1.5

Thus, the required smallest value of x is –1.

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Linear Inequations in One Variable
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Chapter 4: Linear Inequations (In one variable) - Exercise 4 (A) [Page 44]

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Selina Mathematics [English] Class 10 ICSE
Chapter 4 Linear Inequations (In one variable)
Exercise 4 (A) | Q 8 | Page 44
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