If P = {x : 7x - 4 > 5x + 2, x ∈ R} and Q = {x : x - 19 ≥ 1 - 3x, x ∈ R}; find the range of set P ∩ Q and represent it on a number line.

Find the value of k for which the roots of the following equation are real and equal.

k²x² - 2(2k - 1)x + 4 = 0