Which statement about (x<-2) is correct?

Correct answer: −2 is not included in the solution

The governing concept is the distinction between strict and inclusive inequalities. In x<−2, the symbol < means that x must be smaller than −2, but it cannot equal −2. Therefore the boundary value −2 is excluded, making option A correct. On a number line this is shown with an open circle at −2 and shading to the left. Option B would correspond to an inequality such as x≤−2, where equality is allowed. Option C incorrectly treats the boundary as the only solution, while option D selects values greater than −2, which is the opposite direction. For example, −3 satisfies the inequality, but −2 does not because −2<−2 is false.