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What is x 5/18-x-2/9<x-4/6

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(5)/(18)-x-(2)/(9) < x-(4)/(6)\qquad|\cdot36\\\\36\cdot(5)/(18)-36x-36\cdot(2)/(9) < 36x-36\cdot(4)/(6)\\\\2\cdot5-36x-4\cdot2 < 36x-6\cdot4\\\\10-36x-8 < 36x-24\\\\(10-8)-36x < 36x-24\\\\2-36x < 36x-24\qquad|-2\\\\-36x < 36x-26\qquad|-36x\\\\-72x < -26\qquad|\text{change the signs}\\\\72x > 26\qquad|:72\\\\x > (26)/(72)\\\\x > (13)/(36)

User Venkatesh Gowda
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