Answer:
Combing both the inequalities of m , we get -3/2 < m < 1
Step-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 + 7
or, 1 -7 < 4 m + 7 - 7
or, -6 < 4 m
or, m > -6/4
⇒ m > -3/2
Similarly, considering the right part of the equation:
4 m + 7 < 11
or, 4 m + 7 - 7 < 11 - 7
or, 4 m < 4
or, m< 4/4 = 1
⇒ m < 1
Hence, combing both the inequalities of m ,
m > -3/2
m < 1
⇒ -3/2 < m < 1
