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Binomial Theorem

Question
CBSEENMA11014356

Solve 3x + 8 > 2, when

(i) x is an integer.              (ii) x is a real number.          

Solution

               3x + 8 > 2
rightwards double arrow              3x > 2 - 8 rightwards double arrow 3x > - 6 rightwards double arrow x > -2
∴  (i) When space space straight x element of space straight Z comma             
          x = -1, 0, -1, 2, 3, ........
          The solution set is open curly brackets negative 1 comma space 0 comma space 1 comma space 2 comma space 3 comma......... close curly brackets
    (ii)  When straight x space element of space straight R space rightwards double arrow space straight x greater than negative 2 space space or space straight x space element of space left parenthesis negative 2 comma space infinity right parenthesis
           The solution set is WiredFaculty
       

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