which ordered pair makes both inequalities true?\ny < 3x - 1\ny ≥ -x + 4\n(4,0)\n(1,2)\n(0,4)\n(2,1)

Explanation:

Step1: Check (4,0) in both inequalities

First inequality: (0 < 3(4) - 1 = 11) (True). Second inequality: (0 \geq -(4) + 4 = 0) (True).

Step2: Check (1,2) in both inequalities

First inequality: (2 < 3(1) - 1 = 2) (False, as (2 < 2) is false).

Step3: Check (0,4) in both inequalities

First inequality: (4 < 3(0) - 1 = -1) (False).

Step4: Check (2,1) in both inequalities

Second inequality: (1 \geq -(2) + 4 = 2) (False, as (1 \geq 2) is false).

Answer:

(4,0)