Question

$log_{0.5}(7x - 4) \geqslant - 1$
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Answer 1

$ODZ:\\7x-4>0\\\\7x>4\\\\x>\dfrac{4}{7}\\\\\\\log_{0,5}(7x-4)\geq-1\\\\0<0,5<1 \ \Rightarrow \ 7x-4\leq0,5^{-1} \\\\7x-4\leq2\\\\7x\leq 6\\\\x\leq \dfrac{6}{7} \\\\Otvet:\boxed{ \Big(\dfrac{4}{7} \ ; \ \dfrac{6}{7}\Big]}$