Source: Extra Practice
Solve the linear inequality for real x: 4x + 3 < 5x + 7
Options
Option A is correct
(-4, ∞)
Option B
(-∞, -4)
Option C
[-4, ∞)
Option D
(-∞, 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.