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Question

If 2|3x+9|<36, then the number of integral values of x is

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Solution

2|3x+9|<36⇒|3x+9|<18⇒−18<3x+9<18⇒−27<3x<9⇒−9<x<3⇒x∈(−9,3)
Number of integral values =11


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