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Bidhan
Bidhan Bidhan
  • 13-07-2015
  • Mathematics
Answered

how many integers are solution of the inequality 3|x|+2<17?

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naǫ
naǫ naǫ
  • 13-07-2015

\(3|x|+2\ \textless \ 17 \ \ \ \ \ \ \ \ \ |-2 \\ 3|x|\ \textless \ 15 \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\div 3 \\ |x|\ \textless \ 5 \\ x\ \textless \ 5 \ \land \ x \ \textgreater \ -5 \\ x \in (-5,5)\)

9 integers are solutions of the inequality, namely -4, -3, -2, -1, 0, 1, 2, 3, 4.

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