Question

Solve 2x+1≤7, x∈N and represent the solution set of the inequalities
graphically.​

Answer 1

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