Byju's Answer
Standard XII
Mathematics
Different Types of Intervals in Inequality
If x ∈[-3,2],...
Question
If
x
∈
[
−
3
,
2
]
, then
2
x
+
7
lies in
A
[
−
1
,
9
]
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B
[
1
,
11
]
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C
[
−
1
,
11
]
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D
[
1
,
10
]
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Solution
The correct option is
B
[
1
,
11
]
−
3
≤
x
≤
2
⇒
−
6
≤
2
x
≤
4
(multiplying by 2)
⇒
1
≤
2
x
+
7
≤
11
(adding 7)
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