# Q.7 Write the following intervals in set-builder form : (i) (– 3, 0) (ii) [6 , 12](iii) (6, 12](iv) [–23, 5)

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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