Question

Solve the following inequation and represent the following solution set on the number line
3x/5+2<x+4<x/2+5 , x€R​​

Answer 1

Answer:

Step-by-step explanation:

4x - 19 < 3x/5 – 2 ≤ -2/5 + x, x ∈ R

∴ 4x – 19 < 3x/5 – 2,

4x – 3x/5 < -2 + 19,

17x/5 < 17,

x < 5,

and 3x/5 – 2 ≤ -2/5 + x

3x/5 – x ≤ -2/5 + 2

-2x ≤ 8

x ≥ - 4

⇒ -4 ≤ x < 5