Question

$6 \leqslant - 3(2x - 4) < 12$
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Answer 1

Answer:

By solving this inequation with following all the rules of inequation we can find easily the value of x as shown below⟹

$6 \leqslant - 3(2x - 4) < 12 \\ \implies6 \leqslant - 6x + 12 < 12 \\ On Subtracting \: 12 \: from \: all \: sides \: of \: the \: inequation \: </p><p> \\ We \: get \\ - 6 \leqslant - 6x < 0 \\ </p><p>Now \: divide \: whole \: inequation \: by \: - 6 \: \\ </p><p>while \: doing \: so \: the \: sign \: of \: inequation \: will \: be \: changed \\</p><p> \implies1 \geqslant x > 0$

$This \: can \: also \: be \: written \: as \\ 0 < x \leqslant 6 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{ \boxed{ Answer } }$

⟹ x€(0,6]