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VinSmile asked May 21, 2023

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7 votes

VinSmile asked May 21, 2023

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13 votes

Answer:
$-(3)/(2) \leq x < 5$

Explanation:

We can split this into two inequalities, namely
2x-3 < x+2 and
$x+2 \leq 3x+5$ .

Solving the first inequality,

$2x-3 < x+2\\\\x-3 < 2\\\\x < 5$

Solving the second inequality,

$x+2 \leq 3x+5\\\\2 \leq 2x+5\\\\-3 \leq 2x\\\\-(3)/(2) \leq x$

So, the solution is
$-(3)/(2) \leq x < 5$

Kajiyama answered May 27, 2023

3.0k points

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