When 7 is subtracted from a number \(x\), the result is at least 20. What are the correct inequality and its solution?

Correct answer: \(x-7\ge 20,\ x\ge 27\)

‘At least’ means \(\ge\), so the inequality is \(x-7\ge 20\). Adding 7 to both sides gives \(x\ge 27\). Option B is incorrect because it uses the strict sign \(>\); in fact, \(x=27\) is also a valid solution. Exam tip: remember that ‘at least’ corresponds to \(\ge\), while ‘at most’ corresponds to \(\le\).