Byju's Answer
Standard XII
Mathematics
Equivalence Relation
Solve the giv...
Question
Solve the given inequality:
−
5
≤
3
x
−
2
<
7
, where
x
ϵ
R
A
−
1
≤
x
<
3
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B
−
1
≤
x
<
2
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C
−
2
≤
x
<
3
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D
None
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Solution
The correct option is
A
−
1
≤
x
<
3
The given inquations are
−
5
≤
3
x
−
2
<
7..........
(
i
i
)
(
i
)
⟶
−
5
≤
3
x
−
2
⟹
−
5
+
2
≤
3
x
⟹
−
3
≤
3
x
⟹
−
1
≤
x
.
Again
(
i
i
)
⟶
3
x
−
2
<
7
⟹
3
x
<
7
+
2
⟹
3
x
<
9
⟹
x
<
3.
\\
∴
−
1
≤
x
<
3.
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0
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