Use logical cquivalences or a truth table to show that (pvq) r to (p r) a (q r)

The statement is logically equivalent to the statement

Step-by-step explanation:

We have the following statement and we need to prove that is logically equivalent to this statement .

To prove the logical equivalence of the statements we are going to use the table of logical equivalences as follows:

by the logical equivalence involving conditional statement.

by de Morgan’s laws.

by distributive laws.

by the logical equivalence involving conditional statement.

explanation:

infrared radiation has wavelength in the range between 700 nm and 1 mm. lets' convert these values into scientific notation, keeping in mind that:

let's start from the lower value, we have:

(we moved the dot two places to the left, so we increased the exponent by 2 units, from -9 to -7)

the higher value is:

so, the range of wavelength of infrared radiation is: