Solve each of the following system of equations in R.
Subtracting 9 from both sides, we get–
|3–4x|–9≥0
For this, we have 2 cases,
Case 1:
For this, |3–4x|=3–4x
3–4x–9≥0
–4x–6≥0
4x≤–6
…(1)
Case 2: 0<x<∞
For this, |3–4x|=–(3–4x)
–3+4x–9≥0
4x–12≥0
4x≥12
⇒ x≥3
⇒ xϵ [3, ∞ ) …(2)
(from 1 and 2)
We can verify the answers using graph as well.