Solve the system of inequalities: 2x + 1 > 3 and 3x - 5 < 13

Model Answer & Options

Source: Extra Practice

(1, 6)

[1, 6]

(1, ∞)

(-∞, 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.

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