write the truth value(with rason) of 3 + 5>7 if and only if 4 +6<10

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Please find below the solution to the asked query:

$$\begin{gathered} \mathrm{We} \mathrm{have} \\ 3+5>7 \\ 4+6<10 \\ \mathrm{In} 4+6<10 \mathrm{subtract} -2 \\ \Rightarrow 4+6-1-1<10-1-1 \\ \Rightarrow 4-1+6-1<8 \\ \Rightarrow 3+5<8 \\ \mathrm{So} \mathrm{we} \mathrm{have} \\ 3+5>7 \mathrm{if} \mathrm{and} \mathrm{only} \mathrm{if} 3+5<8 \\ \mathrm{which} \mathrm{is} \mathrm{not} \mathrm{possible} \mathrm{as} \mathrm{an} \mathrm{integer} \mathrm{cannot} \mathrm{lie} \mathrm{between} \mathrm{two} \mathrm{consecutive} \\ \mathrm{integers}. \\ \mathrm{Hence} \mathrm{statement} \mathrm{is} \mathrm{false}. \end{gathered}$$

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