Answer:Combing both the inequalities of m , we get -3/2 < m < 1Step-by-step explanation:Here, the given expression is 1 < 4 m + 7 < 11.Considering the left part of the equation we get 1 < 4 m + 7or, 1 -7 < 4 m + 7 - 7or, -6 < 4 mor, m > -6/4⇒ m > -3/2Similarly, considering the right part of the equation:4 m + 7 < 11or, 4 m + 7 - 7 < 11 - 7or, 4 m < 4or, m< 4/4 = 1⇒ m < 1 Hence, combing both the inequalities of m , m > -3/2 m < 1 ⇒ -3/2 < m < 1