the answer is D.
explain how to get the answer??

Answer:
[tex] - 5 \leqslant x - 2 < 4[/tex]
[tex] - 5 + 2 \leqslant x < 4 + 2[/tex]
[tex]3 \leqslant x < 6[/tex]
Step-by-step explanation:
add +2 for both sides
to make x as a subject