Question

Let p and q represent the following simple statements:

p: The taxes are high.
q: The job pays well.
Write the following compound statement in its symbolic form.
The taxes are high and the job pays well.
The symbolic form is

Answer 1

Answer:
`p \ \wedge \ q`

The upside down V symbol is known as a wedge. It represents a conjunction which is informally the "and". In other words,
`p \ \wedge \ q = \text{p and q}`

Note how we can replace p with "the taxes are high" and replace q with "the job pays well" to arrive at the overall compound statement "The taxes are high and the job pays well".

Some logic textbooks will use an ampersand symbol & to be used in place of a wedge. It will depend on the notation that they, or your teacher, has set up.