Source: Extra Practice
Solve the system of inequalities: 2x + 1 > 3 and 3x - 5 < 13
Options
Option A is correct
(1, 6)
Option B
[1, 6]
Option C
(1, ∞)
Option D
(-∞, 6)
Explanation
Solve each inequality separately: 1) 2x + 1 > 3 => 2x > 2 => x > 1. 2) 3x - 5 3x x 1 and x < 6 is 1 < x < 6, or (1, 6). Option 2 is incorrect because the inequalities are strict. Options 3 and 4 only represent one half of the system's requirements.