If > 0 and < 0 , then || − || =

= || − ||= − ( − ) ( ∵ > 0 and < 0)= +

If > 0 and < 0 , then || − || =

= || − ||= − ( − ) ( ∵ > 0 and < 0)= +

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If 𝑎 > 0 and 𝑏 < 0 , then |𝑎| − |𝑏| =

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𝑎 + 𝑏

𝑏 − 𝑎

𝑎 − 𝑏

−(𝑎 + 𝑏)

answer is A.

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Detailed Solution

= |𝑎| − |𝑏|
= 𝑎 − ( − 𝑏) ( ∵ 𝑎 > 0 and 𝑏 < 0)
= 𝑎 + 𝑏

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