Question

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Answer 1

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`