How do you solve $2 \leq 6 x - 1 < 21$ $2\leq 6x - 1< 21$ ?

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How do you solve $2 \leq 6 x - 1 < 21$ $2\leq 6x - 1< 21$ ?

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Answer 1 · 2018-06-08T13:55:30

$\frac{1}{2} \leq x < \frac{11}{3}$ $1/2<=x<11/3$

Explanation:

We have to solve
$2 \leq 6 x - 1$ $2<=6x-1$
so we get
$3 \leq 6 x$ $3<=6x$
$\frac{1}{2} \leq x$ $1/2<=x$
And we have to solve
$6 x - 1 < 21$ $6x-1<21$
so
$6 x < 22$ $6x<22$
$x < \frac{11}{3}$ $x<11/3$
so our solution is given by
$\frac{1}{2} \leq x < \frac{11}{3}$ $1/2<=x<11/3$

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How do you solve $2 \leq 6 x - 1 < 21$ $2\leq 6x - 1< 21$ ?

1 Answer

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