Use theorem 2.1.1 to verify the logical equivalence. give a reason for each step. -(pv –q) v(-p^q) = ~p

The statement is equivalent to ,

Step-by-step explanation:

We need to prove that the following statement is equivalent to with the use of Theorem 2.1.1.

So

by De Morgan's law.

by the Double negative law

by the Distributive law

by the Negation law

by Universal bound law

Therefore

the thermometer is precise but not accurate

step-by-step explanation:

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x