Question

Solve:

\( 1 \geq 15-7 x>2 x-27, x \in N \).

Answer 1

15 - 7x \(\leq 1\) and 2x - 27 < 15 - 7x

⇒ 15 - 1 \(\leq\) 7x and 2x + 7x < 15 + 27

⇒ 14/7 \(\leq\) x and x < 42/9

⇒ 2 \(\leq\) x < 14/3 & x \(\in\) N

⇒ x = 2, 3, 4

Answer 2

1st is 

15-7x\(\le\)1

7x\(\ge\)14

x\(\ge\)2

2nd is 

15-7x>2x-27

42>9x

x<\(\frac{42}{9}\) 

x<4.6

But given that x is a natural number 

So for ,    2\(\le\)x<4.6

Only three natural number  2 , 3 and 4 are possible .