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What you need to note is the following: \begin{align*} S_T - \max(S_T-K, \,0) &= S_T + \min(K-S_T, \,0)\\ &=\min(K, \, S_T) >0. \end{align*}


The call price is decreasing with respect to the strike so for every strike the value of the option is inferior than the value for strike equal to zero which is the spot price.

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