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

Answer:

We are given that a>b.

1) $\dfrac{b}{a+b}$ and 0.5

we know that a>b

⇒ a+b>b+b

⇒a+b>2b

⇒  $\dfrac{b}{a+b}$

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.

$\dfrac{a-b}{2}$

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.

Answer 2

1. 0.5 is greater, 2. A + 13c is greater, 3. the expressions are equal, 4. there is not enough information available — it depends how much greater a is than b, 5. The expressions are equal.