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Question Number 43434 by Joel578 last updated on 10/Sep/18

$$\mathrm{Let}P\mathrm{and}Q\mathrm{be}\mathrm{statements}.\mathrm{If}(\sim P)\vee Q\mathrm{is}\mathrm{true},$$$$\mathrm{then}P\vee Q\mathrm{is}\mathrm{false}.$$$$\mathrm{True}\mathrm{or}\mathrm{False}?$$

Commented by Joel578 last updated on 10/Sep/18

$$\mathrm{From}\mathrm{truth}\mathrm{table},\mathrm{if}(\sim P)\vee Q\mathrm{is}\mathrm{true},\mathrm{then}$$$$P\vee Q\mathrm{can}\mathrm{be}\mathrm{true}\mathrm{and}\mathrm{also}\mathrm{false}.$$$$\mathrm{So},\mathrm{the}\mathrm{statement}\mathrm{in}\mathrm{the}\mathrm{question}\mathrm{should}\mathrm{be}\mathrm{true}$$$$\mathrm{or}\mathrm{false}?$$

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