Question

someone claimed, if you run for 10 minutes a day or you walk 45 minutes a day, then you will live until the age of 90. the compound statement above is made up of three simple statements. identify them and assign a letter to each. then write the compound statement in symbolic form and contruct a truth table for the compiund statement

Answer 1

See steps below

Explanation:

Let p, q and r be the statements

p = you run for 10 minutes a day

q = you walk 45 minutes a day

r = you will live until the age of 90

Then the expression,

“if you run for 10 minutes a day or you walk 45 minutes a day, then you will live until the age of 90”

Could be written as

`\boxed{p\vee q\rightarrow r}`

The truth table is the following:

`\left[\begin{array}{ccccc}p&q&r &p\vee q&(p\vee q)\rightarrow r\\T&T&T&T&T\\T&T&F&T&F\\T&F&T&T&T\\F&T&T&T&T\\T&F&F&T&F\\F&T&F&T&F\\F&F&T&F&T\\F&F&F&F&T\end{array}\right]`