Answered

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What is the solution to the inequality?

[tex]\[ x + 6 \geq 2 \][/tex]

A. [tex]\( x \leq -4 \)[/tex]

B. [tex]\( x \geq -4 \)[/tex]

C. [tex]\( x \leq 4 \)[/tex]

D. [tex]\( x \geq 4 \)[/tex]

Sagot :

GinnyAnswer
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]
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