Question 5:
Show that if A ⊂ B, then C−B ⊂ C − A.
Answer
Let A ⊂ B
To show: C − B ⊂ C − A
Let x ∈ C − B
⇒ x ∈ C and x ∉ B
⇒ x ∈ C and x ∉ A [A ⊂ B]
⇒ x ∈ C − A
∴ C − B ⊂ C – A
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Question 5:
Show that if A ⊂ B, then C−B ⊂ C − A.
Answer
Let A ⊂ B
To show: C − B ⊂ C − A
Let x ∈ C − B
⇒ x ∈ C and x ∉ B
⇒ x ∈ C and x ∉ A [A ⊂ B]
⇒ x ∈ C − A
∴ C − B ⊂ C – A
Latest Govt Job & Exam Updates: