Question

If A={–3, –2, 1, 4} and B= {0, 1, 2, 4}, find (i) A–B (ii) B–A.

Answer 1

A - B = { - 3 , - 2 }

B - A = { 0 , 2 }

Given :

A = {–3, –2, 1, 4} and B = {0, 1, 2, 4},

To find :

(i) A – B

(ii) B – A.

Concept :

For two given set A and B , the difference of two sets is denoted by A - B and defined as

A - B = { x : x ∈ A : x ∉ B }

Solution :

Step 1 of 3 :

Write down the given sets

Here the given sets are A = {–3, –2, 1, 4} and B = {0, 1, 2, 4},

Step 2 of 3 :

Find A - B

A - B

= { x : x ∈ A : x ∉ B }

= { - 3 , - 2 }

Step 3 of 3 :

Find B - A

B - A

= { x : x ∈ B : x ∉ A }

= { 0 , 2 }

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Answer 2

A–B = {-3, -2} and B–A = {0,2}

Given

• A={–3, –2, 1, 4}
• and B= {0, 1, 2, 4},

To find

• (i) A–B
• (ii) B–A.

solution

we are provided with a two sets namely A and B and are asked you to find out some algebraic operations carried out in the sets.

its given A={–3, –2, 1, 4}

and set B= {0, 1, 2, 4}

now,

step 1

A–B is defined as the elements present in set A and not in set B

step 2

therefore,

A–B = {-3, -2}

Similarly,

step 1

B–A is defined as the elements present in Set B and not in set A

step 2

therefore,

B–A = {0,2}

Therefore, our answers would be

A–B = {-3, -2} and B–A = {0,2}

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