If \(x\) is an integer and \(-3\le x<4\), what is its solution set?

Correct answer: \(\{-3,-2,-1,0,1,2,3\}\)

In the inequality \(-3\le x<4\), \(-3\) is included because the symbol is \(\le\), while \(4\) is excluded because the symbol is \(<\). Thus, all integers from \(-3\) through \(3\) are solutions, so option C is correct. Option B is incorrect because it includes \(4\). In an exam, remember that a closed endpoint is included and an open endpoint is excluded.