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А={a,b,c,d,e}, B={a,d,f}, C={b,e,f,g}, D={a,f,g,h}. Find the sets if we know that: S⫅A, S∩(B∪D)=∅, (A∩C)\S=∅ and {c}\s={c}

Sagot :

Answer:

The sets are:  (iv) D={f,g,h,a} ∴D  ′ ={b,c,d,e}

Step-by-step explanation:

We know that complement of set A is

A

=U−A

Given U={a,b,c,d,e,f,g,h}

(i) A={a,b,c}

A

={d,e,f,g,h}

(ii) B={d,e,f,g}

∴B

={a,b,c,h}

(iii) C={a,c,e,g}

∴C

={b,d,f,h}

(iv) D={f,g,h,a}

∴D

={b,c,d,e}

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