Answer :
Certainly! Let's solve the problem of determining which expression is equivalent to [tex]\( Pq \)[/tex].
We have the following options:
1. [tex]\( p + q \)[/tex]
2. [tex]\( p - q \)[/tex]
3. [tex]\( \frac{p}{q} \)[/tex]
4. [tex]\( qp \)[/tex]
To find the expression that is equivalent to [tex]\( Pq \)[/tex]:
1. Option 1: [tex]\( p + q \)[/tex] - This represents the addition of [tex]\( p \)[/tex] and [tex]\( q \)[/tex]. It is not the same as [tex]\( Pq \)[/tex], which involves multiplication, not addition.
2. Option 2: [tex]\( p - q \)[/tex] - This represents the subtraction of [tex]\( q \)[/tex] from [tex]\( p \)[/tex]. This is not equivalent to [tex]\( Pq \)[/tex] since it involves subtraction instead of multiplication.
3. Option 3: [tex]\( \frac{p}{q} \)[/tex] - This represents the division of [tex]\( p \)[/tex] by [tex]\( q \)[/tex]. It is not equivalent to [tex]\( Pq \)[/tex] since [tex]\( Pq \)[/tex] involves multiplication.
4. Option 4: [tex]\( qp \)[/tex] - This is the product of [tex]\( q \)[/tex] and [tex]\( p \)[/tex]. Due to the commutative property of multiplication (which means the order of multiplication does not matter), [tex]\( qp \)[/tex] is indeed equivalent to [tex]\( Pq \)[/tex].
Thus, the expression equivalent to [tex]\( Pq \)[/tex] is Option 4: [tex]\( qp \)[/tex].
We have the following options:
1. [tex]\( p + q \)[/tex]
2. [tex]\( p - q \)[/tex]
3. [tex]\( \frac{p}{q} \)[/tex]
4. [tex]\( qp \)[/tex]
To find the expression that is equivalent to [tex]\( Pq \)[/tex]:
1. Option 1: [tex]\( p + q \)[/tex] - This represents the addition of [tex]\( p \)[/tex] and [tex]\( q \)[/tex]. It is not the same as [tex]\( Pq \)[/tex], which involves multiplication, not addition.
2. Option 2: [tex]\( p - q \)[/tex] - This represents the subtraction of [tex]\( q \)[/tex] from [tex]\( p \)[/tex]. This is not equivalent to [tex]\( Pq \)[/tex] since it involves subtraction instead of multiplication.
3. Option 3: [tex]\( \frac{p}{q} \)[/tex] - This represents the division of [tex]\( p \)[/tex] by [tex]\( q \)[/tex]. It is not equivalent to [tex]\( Pq \)[/tex] since [tex]\( Pq \)[/tex] involves multiplication.
4. Option 4: [tex]\( qp \)[/tex] - This is the product of [tex]\( q \)[/tex] and [tex]\( p \)[/tex]. Due to the commutative property of multiplication (which means the order of multiplication does not matter), [tex]\( qp \)[/tex] is indeed equivalent to [tex]\( Pq \)[/tex].
Thus, the expression equivalent to [tex]\( Pq \)[/tex] is Option 4: [tex]\( qp \)[/tex].
