If 3 is added to four times a number and the result is at most 35, what is the set of possible values of the number?

Correct answer: \(x\leq 8\)

‘At most 35’ means the result is less than or equal to 35, so the inequality is \(4x+3\leq 35\). Subtracting 3 from both sides gives \(4x\leq 32\), and dividing by the positive number 4 gives \(x\leq 8\). Therefore, option B is correct. Exam tip: use \(\leq\) for ‘at most’ and \(\geq\) for ‘at least’.