Which option represents both x ≥ −1 and x < 4 together?

Correct answer: [−1, 4)

The word “and” means that both conditions must hold simultaneously, so we take their intersection. The condition x≥−1 includes −1 and all numbers to its right; its interval is [−1,∞). The condition x<4 excludes 4 and includes every number smaller than 4; its interval is (−∞,4). Their common part is [−1,4). The square bracket at −1 shows that −1 is included because the first inequality uses ≥. The parenthesis at 4 shows that 4 is excluded because the second inequality uses <. Therefore option A is correct. Option B reverses the endpoint inclusions, C represents outside values, and D wrongly excludes −1.