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Binomial Theorem

Question
CBSEENMA11014358

Solve the following inequality for real x:

3 (2 – x) ≥ 2 (1 – x)

Solution

3 (2 – x) ≥ 2 (1 – x)
rightwards double arrow    6 minus 3 straight x greater or equal than 2 minus 2 straight x rightwards double arrow space minus 3 straight x plus 2 straight x greater or equal than 2 minus 6 space rightwards double arrow negative straight x greater or equal than negative 4 rightwards double arrow fraction numerator negative straight x over denominator negative 1 end fraction less or equal than fraction numerator negative 4 over denominator negative 1 end fraction rightwards double arrow straight x less or equal than 4
                                                                                                   (∵ -1 < 0)
rightwards double arrow                 straight x space element of space left parenthesis negative infinity comma space 4 right square bracket
Hence, the solution is WiredFaculty

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