Question

suppose a and b give the population of two states where a > b. compare expressions and tell which of the given pair is greater or if the expressions are equal. 1. b/a+b and 0.52. a+13c and b+13c is the population of a third state3. a-b/2 and a-b/24. a+b and 2b5. 5(a+b) and (a+b)5

Answer 1

We are given that a>b.

1)
`(b)/(a+b)` and 0.5

we know that a>b

⇒ a+b>b+b

⇒a+b>2b

⇒
`(b)/(a+b)<(1)/(2)=0.5`

2) a+13c and b+13c is the population of a third state.

so, a+13c>b+13c

3) both the given expressions are same i.e.

`(a-b)/(2)`

4) a+b and 2b

we know that a>b

⇒ a+b>b+b

⇒a+b>2b.

5) both the given expressions are same i.e. 5(a+b) or (a+b)5 since we have to multiply (a+b) and 5.