Solve for x: 3(2 - x) ≥ 2(1 - x)

Model Answer & Options

Source: Extra Practice

x ≤ 4

x ≥ 4

x ≤ -4

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.

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