Question

(b) Solve the following inequation:
1 > 15 - 7x > 2x - 27, X EN​

Answer 1

Step-by-step explanation:

Given inequation is

1≥15−7x≥2x−27

So we have,

1≥15−7x and 15−7x>2x−27

⇒7x≥15−1 and −2x−7x>−27−15

⇒7x≥14 and −9x>−42

⇒x≥2 and −x>−

9

42

⇒x≥2 and x<

3

14

⇒2≤x<

3

14

But as x∈N

The solution set is {2,3,4}.