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Which inequality has a solution set of {x ⎸x > 3 or x < –3}? Question 16 options:

a) |2| < 6
b) |2| ≥ 6
c) |2| > 6
d) |2| ≤ 6

1 Answer

2 votes

Final answer:

None of the given options correctly represents the inequality with the solution set x > 3 or x < –3. The correct inequality would be |x| > 3, which is not listed among the options.

Step-by-step explanation:

The inequality that has a solution set of {x ─x > 3 or x < –3} is not represented by any of the given options (a) |2| < 6, (b) |2| ≥ 6, (c) |2| > 6, or (d) |2| ≤ 6. Instead, the solution set described corresponds to an inequality involving absolute values, specifically |x| > 3. This inequality means that x is greater than 3 units away from zero on a number line, which is true for x > 3 or x < –3.

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