Question

resolva no caderno os sistemas de inequaçoes em R.
a)
$1 \leqslant x + 1 < 5$
b)
$5 - 2x \leqslant 4 \\ x - 5 < 1 - x$
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Answer 1

Resposta:

Explicação passo a passo:

$a)\\1\le \:x+1<\:5\\\\1\le \:x+1} \\{x+1<5}} \right. \\\\1\le \:x+1\\1-1\le \:x\\0\le \:x\\\\x+1<5\\x<5-1\\x<4\\\\intervalos:\\0\le \:x<4\\\\b)\\5-2x\leq 4\\x-5<1-x\\\\5-2x\le \:4\\2x\le \:4-5\\\left-2x\right\ge \left-1\right\left(-1\right)\\2x\geq 1\\x\geq \frac{1}{2} \\\\x-5<1-x\\x<-x+6\\x+x<6\\{2x}<\frac{6}{2}\\x<3\\\\intevalos:\\\frac{1}{2}\le \:x<3$