\(1+\dfrac{x+4}{5}< =x-\dfrac{x+3}{3}\)
=>\(\dfrac{5+x+4}{5}< =\dfrac{3x-x-3}{3}\)
=>\(\dfrac{x+9}{5}< =\dfrac{2x-3}{3}\)
=>3(x+9)<=5(2x-3)
=>3x+27<=10x-15
=>-7x<=-42
=>7x>=42
=>x>=6
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