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Mathematics
Lauryn
27 September, 11:13
Solve the compound inequality-1<4m+7<11
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Arturo Potts
27 September, 13:37
0
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
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