Solve the following inequality and represent on the number line:6x+7 <

1.	Solve the following inequality and represent on the number line:6x+7 < 2x+5, X Z
Answer» Answer: ANSWER 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

Solve the following inequality and represent on the number line:6x+7 < 2x+5, X Z

Answer»

Answer:

ANSWER

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