Solve the linear inequality for x: 5 - 2(3x - 1) > 4x - 13.
Answer and explanation
Correct answer: A. x < 2
- Step 1: Expand the left side: 5 - 6x + 2 > 4x - 13 => 7 - 6x > 4x - 13.
- Step 2: Collect x terms: 7 + 13 > 4x + 6x => 20 > 10x => 10x < 20.
- Step 3: Divide by 10: x < 2.
Answer
x < 2.
Why not the others: Option x > 2 fails to flip the inequality sign or isolates terms incorrectly. Option x < -2 incurs a sign error when adding 13. Option x > -2 combines both sign errors.
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