Source: Extra Practice
Solve for x: 3(2 - x) ≥ 2(1 - x)
Options
Option A is correct
x ≤ 4
Option B
x ≥ 4
Option C
x ≤ -4
Option D
x > 4
Explanation
Expanding both sides: 6 - 3x ≥ 2 - 2x. Rearranging terms: 6 - 2 ≥ 3x - 2x, which simplifies to 4 ≥ x, or x ≤ 4. Option 2 is the reverse. Option 3 has a sign error. Option 4 is incorrect because it uses a strict inequality and the wrong direction.