Binomial Theorem

Question
CBSEENMA11014355

Solve 5x – 3 < 7, when

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

Solution

5x – 3 < 7
               5x – 3 < 7 rightwards double arrow 5x < 10 rightwards double arrow x<2
∴    (i) When space space straight x element of space straight Z comma space straight x space equals space 1 comma space 0 comma space minus 1 comma space minus 2 comma space........
           The solution set is open curly brackets.... comma space minus 3 comma space minus 2 comma space minus 1 comma space 0 comma space 1 close curly brackets
      (ii) When straight x space element of space straight R comma space space straight x less than 2 space or space straight x space element of space left parenthesis negative infinity comma space 2 right parenthesis
∴      The solution set is space space left parenthesis negative infinity comma space 2 right parenthesis

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