Question

find the solution set of -3<x/2-1<1,X E Z
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Answer 1

Step-by-step explanation:

I don't know the answer for this question

Answer 2

Answer :-

• Solution set = { x ∈ Z : -4 < x < 4 }.

Step-by-step explanation :

Given,

⟹ -3 < x/2 - 1 < 1

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Case 1:

• -3 < x/2 - 1

⟹ -3 < x/2 - 1

⟹ -3 + 1 < x/2

⟹ -2 < x/2

⟹ ( -2 )*( 2 ) < x

⟹ -4 < x

∴ Solution set of -3 < x/2 - 1 is A = { x ∈ Z : -4 < x }.

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Case 2:

• x/2 - 1 < 1

⟹ x/2 - 1 < 1

⟹ x/2 < 1 + 1

⟹ x/2 < 2

⟹ x < ( 2 )*( 2 )

⟹ x < 4

∴ Solution set of x/2 - 1 < 1 is B = { x ∈ Z : x < 4 }.

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∴ Solution set = { x ∈ Z : -4 < x < 4 }.