Solve the following inequality and represent on the number line:
6x+7 < 2x+5, X Z
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We have,
5(2x−7)−3(2x+3)≤0
⇒10x−35−6x−9≤0
⇒4x−44≤0⇒x≤11
And 2x+19≤6x+47
⇒2x−6x≤47−19
⇒−4x≤28⇒x≥−7
Thus using above two we have −7≤x≤11
Solution is also shown graphically
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