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If | b | ≥ 1 ...
Question
I
f
|
b
|
≥
1
and x = - |a| b, then which one of the following is necessarily true?
A
a
−
x
b
<
0
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B
a
−
x
b
≥
0
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C
a
−
x
b
>
0
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D
a
−
x
b
≤
0
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Solution
The correct option is
C
a
−
x
b
≥
0
|
b
|
≥
1
⇒
b
≥
1
o
r
b
≤
−
1
x = - |a| b (given)
Consider a - xb = a - (-|a|b)b
=
a
+
|
a
|
b
2
≥
0
since,
b
2
≥
1
Suggest Corrections
0
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