If

is an integer, you can use induction. First show the inequality holds for

. You have

, which is true.

Now assume this holds in general for

, i.e. that

. We want to prove the statement then must hold for

.

Because

, you have

and this must be greater than

for the statement to be true, so we require

for

. Well this is obviously true, because solving the inequality gives

. So you're done.

If you

is any real number, you can use derivatives to show that

increases monotonically and faster than

.

19. Perimeter of rectangle = 2(l + b)

l = 25m

b = 16m

Perimeter of rectangular park = 2 (25 + 16)

= 50 + 32

= 82m

Perimeter of square park = 82m

(given that, perimeter of rectangular and square park are equal)

Perimeter of square = 4a

4a = 82

a = 82/4

a = 20.5m

Area of square park = a²

= 20.5²

= 420.25m²

20. Perimeter of regular hexagon = 6a

a = 2.5

6a = 6 × 2.5

= 15cm

21. Perimeter of regular decagon = 10a

a = 8

10a = 10 × 8

= 80cm

The 15 lbs at $7=$105

So multiple 5x9 as a test and check results. 105-45=60

Here you can see that 60 is a factor of 6 by 10 so you got lucky and got the answer of 10lbs at $6 & 5lbs at $9=15 lbs at $7 average

**Answer:**

The first one is the answer to the question

**Answer:**

3x-2y=17........(1)

x=4y-1

substituting value of x in equation 1

3(4y-1)-2y=17

12y-3-2y=17

10y=17+3

y=**2****0****/****1****0****=****2**** **

**again**

**substituting**** ****value**** ****of**** ****y**** ****in**** ****equation**** ****1**

**3****x****-****2****×****2****=****1****7**

**3****x****=****1****7****+****4**

**x****=****2****1****/****3****=****7**

**:****.****x****=****7****,****y****=****2**