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Exercise 5.1 · Q2

Q.Describe the following set in Roster form: B = {x/x is an integer, −32<x<92-\dfrac{3}{2} < x < \dfrac{9}{2}}.

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✓ Free question

We need integers x with −32<x<92-\frac{3}{2} < x < \frac{9}{2}, i.e. −1.5<x<4.5-1.5 < x < 4.5. The integers lying strictly between −1.5-1.5 and 4.54.5 are −1,0,1,2,3,4-1, 0, 1, 2, 3, 4. So in Roster form B = {-1, 0, 1, 2, 3, 4}, and n(B) = 6.

✓Final answer

B = {-1, 0, 1, 2, 3, 4}

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