生成这个题目的讲解---**Question 1** * **Question Number:** 1. * **Points:** 5分 (5 points) * **Question Stem:** 若集合 M={x|√x < 4}, N={x|3x≥1}, 则 M∩N= (C ) *Mathematical breakdown of M:* For `√x` to be defined, `x ≥ 0`. Given `√x < 4`, squaring both sides (since both sides are non-negative) yields `x < 16`. Combining these, `M = {x | 0 ≤ x < 16}`. *Mathematical breakdown of N:* Given `3x ≥ 1`, dividing by 3 yields `x ≥ 1/3`. So, `N = {x | x ≥ 1/3}`. *Mathematical breakdown of M∩N:* The intersection of M and N means finding `x` that satisfies both conditions: `(0 ≤ x < 16)` AND `(x ≥ 1/3)`. This results in `1/3 ≤ x < 16`. Therefore, `M∩N = {x | 1/3 ≤ x < 16}`. * **Options:** * A. {x|0≤x<2} * B. {x|1/3≤x<2} * C. {x|3≤x<16} * D. {x|1/3≤x<16}