To solve the inequality [tex]\(x + 6 \geq 2\)[/tex], follow these steps:
1. Isolate the variable [tex]\(x\)[/tex]:
- Start with the original inequality:
[tex]\[
x + 6 \geq 2
\][/tex]
2. Subtract 6 from both sides to get [tex]\(x\)[/tex] on its own:
- Subtract 6 from the left side:
[tex]\[
(x + 6) - 6 \geq 2 - 6
\][/tex]
- Simplify both sides:
[tex]\[
x \geq -4
\][/tex]
Based on the steps, we've determined that [tex]\(x \geq -4\)[/tex]. Hence, the correct answer is:
B. [tex]\(x \geq -4\)[/tex]
