mmmmmmmmmmmmmmm1jjj mmmmmmmmmmmmmmm1jjj
  • 01-12-2016
  • Mathematics
contestada

Let p: The integer has one digit.
Let q: The integer is less than 10.
Which represents "The integer has one digit if and only if the integer is less than 10”?

p ∨ q
p ∧ q
p → q
p ↔ q

Respuesta :

wifilethbridge wifilethbridge
  • 31-01-2019

Answer:

p ↔ q

Step-by-step explanation:

Given :

Let p: The integer has one digit.

Let q: The integer is less than 10.

To Find:Which represents "The integer has one digit if and only if the integer is less than 10”?

Solution:

1. p ∧ q denotes “p and q”

2.p ∨ q denotes “p or q" (or both)

3.p → q denotes “if p then q”

4. Biconditional p ↔ q denotes “p if and only if q"

Thus Biconditional p ↔ q represents "The integer has one digit if and only if the integer is less than 10”

Hence Option D is correct p ↔ q

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