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.
Which symbol in place of the question mark makes the inequality 2x ? 20 true for the solutions 10, 11, and 12?
3 answers
AAAaannndd the bot gets it wrong yet again!
2x ≥ 20
works for x = 10,11,12
2x ≥ 20
works for x = 10,11,12
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 "≥".