The correct option is A Solution set = {-2, -1, 0, 1, 2, 3}
Given: 2y−3<y+1≤4y+7
⇒2y−3<y+1 and y+1≤4y+7
Rule: If a term of an inequation is transferred from one side to the other side of the inequation, the sign of the term gets changed. Let's apply this rule in the above inequation.
⇒2y−y<3+1 and 1−7≤4y−y
⇒y<4 and −6≤3y
⇒y<4 and y≥−2
⇒−2≤y<4
Therefore, the solution set = {-2, -1, 0, 1, 2, 3}.