Solve the linear inequality for real x: 4x + 3 < 5x + 7

Model Answer & Options

Source: Extra Practice

(-4, ∞)

(-∞, -4)

[-4, ∞)

(-∞, 4)

Explanation

To solve 4x + 3 < 5x + 7, we rearrange terms: 4x - 5x < 7 - 3, which simplifies to -x -4. In interval notation, this is represented as (-4, ∞). Option 2 is incorrect because it suggests x < -4. Option 3 is incorrect because the inequality is strict ('<'), meaning -4 is not included. Option 4 is incorrect due to a sign error.

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