Question

$(3x-4)^{2} \geq (4x-3)^{2}$

Answer 1

(3x - 4)² ≥ (4x - 3)²

(3x - 4)² - (4x - 3)² ≥ 0

(3x - 4 + 4x - 3)(3x - 4 - 4x + 3) ≥ 0

(7x - 7)(-x - 1) ≥ 0

(x - 1)(x + 1) ≤ 0

+++++++[-1] ------------ [1] +++++++

x ∈ [-1, 1]