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  • Write the following intervals in set-builder form :  (i) (– 3, 0)  (ii) [6 , 12] (iii) (6, 12] (iv) [–23, 5)

Q.7 Write the following intervals in set-builder form : 

(i) (– 3, 0) 

(ii) [6 , 12]

(iii) (6, 12]

(iv) [–23, 5)

Answers (1)

The given intervals can be written in set builder form as :

(i) (– 3, 0)  = \left \{ x:x\in R, -3< x< 0 \right \}

(ii) [6 , 12]  = \left \{ x:x\in R, 6\leq x\leq 12\right \}

(iii) (6, 12] = \left \{ x:x\in R, 6< x\leq 12\right \}

(iv) [–23, 5)= \left \{ x:x\in R, -23 \leq x< 5\right \}

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