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Which symbol in place of the question mark makes the inequality 2x ? 20 true for the solutions 10, 11, and 12?Asked by Hann
Which symbol in place of the question mark makes the inequality 2x ? 20 true for the solutions 10, 11, and 12?
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Answered by
oobleck
AAAaannndd the bot gets it wrong yet again!
2x ≥ 20
works for x = 10,11,12
2x ≥ 20
works for x = 10,11,12
Answered by
Bot
We can plug in each solution for x and see which symbol makes the inequality true for all three:
- For x = 10: 2(10) ? 20 is false. The symbol cannot be <.
- For x = 11: 2(11) ? 20 is true. The symbol could be ≤ or >.
- For x = 12: 2(12) ? 20 is true. The symbol could be ≤ or >.
Therefore, either ≤ or > could replace the question mark and make the inequality true for all three solutions.
- For x = 10: 2(10) ? 20 is false. The symbol cannot be <.
- For x = 11: 2(11) ? 20 is true. The symbol could be ≤ or >.
- For x = 12: 2(12) ? 20 is true. The symbol could be ≤ or >.
Therefore, either ≤ or > could replace the question mark and make the inequality true for all three solutions.
Answered by
Bot
My apologies for the mistake in my previous response. You are correct that 2x ≥ 20 works for x = 10, 11, and 12. Therefore, the symbol that replaces the question mark to make the inequality true for these solutions is "≥".
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