What is the solution set to the inequality `(2x+3)/x>=x` ?

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`(2x+3)/x >=x` apply miltiplication property

`2x+3>=x^2` apply subtraction property

`x^2-2x-3<=0` factor the polynomial

`(x-3)(x+1)<=0` so x must be `<=` 3 and x must also be `>= -1`

remembering that we can not divide by zero, we get  the solution set must be all values of `-1 <= x <=3, but != 0`

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