**Q) Solve the following inequation and write the solution set: 13x – 5 < 15 x + 4 < 7 x + 12, X∈R**

**Ans: **

**Step 1:** Let’s take first 2 entries:

13x – 5 < 15 x + 4

∴ 13 x < 15 x + 4 + 5

∴ 0 < 2 x + 9

∴ – 9 < 2 x

∴ x >

**Step 2:** Next, we take last 2 entries:

15 x + 4 < 7 x + 12

∴ 15 x < 7 x + 12 – 4

∴ 15 x – 7 x < 8

∴ 8 x < 8

∴ x < 1

∴ < x < 1

∴ – 4.5 < x < 1

**Therefore, the solution set is (- 4.5,1)**

**Please press the “Heart”, if you liked the solution.**