Home
Class 12
MATHS
0ltpltqltr {:("Quantity A","Quantity B...

`0ltpltqltr`
`{:("Quantity A","Quantity B"),(p+q,q+r):}`

A

Quantity A is greater.

B

Quantity B is greater.

C

The two quantities are equal.

D

The relationship cannot be determined from the infromation given.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to compare Quantity A (p + q) and Quantity B (q + r) given the conditions \(0 < p < q < r\). ### Step-by-Step Solution: 1. **Understand the Inequalities**: We know that \(p\), \(q\), and \(r\) are positive numbers such that \(p < q < r\). This means \(p\) is the smallest, followed by \(q\), and \(r\) is the largest. 2. **Add \(q\) to the Inequality**: Since \(p < q\), we can add \(q\) to all parts of the inequality: \[ p + q < q + q < q + r \] This simplifies to: \[ p + q < 2q < q + r \] 3. **Analyze the Result**: From the inequality \(p + q < q + r\), we can conclude that: \[ p + q < q + r \] This shows that Quantity A (p + q) is less than Quantity B (q + r). 4. **Conclusion**: Therefore, we can conclude that Quantity B is greater than Quantity A. ### Final Answer: - Quantity A (p + q) is less than Quantity B (q + r), so the answer is that Quantity B is greater.
Promotional Banner

Similar Questions

Explore conceptually related problems

0ltpltqltr {:("Quantity A",,"Quantity B"),(pq,"(?)",qr):}

0ltpltqltr {:("Quantity A",,"Quantity B"),({:(" "q-p),(" +q"),(" "bar(2q-p)):},"(?)",{:(r-q),(" -q"),(bar(r-2q)):}):}

xy gt 0 {:("Quantity A","Quantity B"),(x+y,0):}

0ltpltqltr {:("Quantity A",,"Quantity B"),((q)/(r),"(?)",(r)/(q)):}

{:("Quantity A","Quantity B"),((0.99)^(y),0.99xxy):}

P square Q=P+2Q for all integers P and Q {:("Quantity A","Quantity B"),(11 square5, 5square 11):}

r gt s {:("Quantity A","Quantity B"),((r+s)(r-s),(s+r)(s-r)):}

Assertion (A): Equation (x-p)(x-q)-r=0 where p,q,r epsilon R and 0ltpltqltr has roots in (p,q) , Reason(R): A polynomial equation f(x)=0 has odd number of roots between a and b (altb) if f(a) and f(b) have opposite signs

Dipole moment is a scalar quantity and is given by m=q xx r .