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Solve as directed : Convert to linear inequality and solve for natural numbers: (x-2) (x-3) lt (x +3) (x-1)

Answer»

SOLUTION : (x-2) (x-3) `lt` (x +3) (x-1)
`RARR x^2 - 5X + 6 lt x^2 + 2X-3`
`rArr -5x + 6 lt 2x - 3`
`rArr -5x - 2x lt -3 -6
`rArr -7X lt -9
`rArr x gt 9/7`
If x `in` N the solution set is S = { 2,3,4…….}


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