Does 8x = 16 + 2x? (1) -3x is greater than or equal to -9. (2) 2x is

Target question: Does 8x = 16 + 2x?
This is a good candidate for rephrasing the target question.
Take: 8x = 16 + 2x
Subtract 2x from both sides: 6x = 16
Divide both sides by 6 to get: x = 16/6 = 8/3

REPHRASED target question: Does x = 8/3?

Statement 1: -3x ≥ -9
Divide both sides of the inequality by -3 to get: x ≤ 3 [ since we divided both sides of the inequality by a negative value, we had to reverse the direction of the inequality symbol (see the video below for more on this)]
If x ≤ 3, it could be the case that x = 0, in which case the answer to the REPHRASED target question is NO, x does not equal 8/3
If x ≤ 3, it could also be the case that x = 8/3, in which case the answer to the REPHRASED target question is YES, x equals 8/3
Since we can’t answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: 2x ≥ 6
Divide both sides of the inequality by 2 to get: x ≥ 3
If x ≥ 3, then x definitely can't equal 8/3 (since 8/3 < 3), which means the answer to the REPHRASED target question is NO, x does not equal 8/3
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer: B

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