Chapter 1.7, Problem 6PSA

To determine

If I’ll wear my orange skirt to the game and everybody will notice me, it is always true or not

Answer to Problem 6PSA

Everyone will not notice

Explanation of Solution

Given information:

The school colors are orange and black

Let

A: I will wear Orange skirt

B: Everyone will notice me

The mathematical expression for the statement “If A then B” is as follows

  $\begin{array}{l}\text{A}\to \text{B}\\ \text{=A+<msup><mo>B</mo><mo>′</mo></msup>}\end{array}$

Truth table follows as under:

A	B	B’	A+B’
0	1	0	0
0	0	1	1
1	1	0	1
1	0	1	1

Thus, as per truth table:

If I’ll wear orange skirt to the game and everyone will NOT notice me