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Which choice is the solution to the inequality below?

[tex]\[ 11x \geq 22 \][/tex]

A. \( x \geq 2 \)

B. \( x > 2 \)

C. \( x \geq 231 \)

D. [tex]\( x \geq 22 \)[/tex]


Sagot :

To solve the inequality \(11x \geq 22\), follow these steps:

1. Understand the Inequality: We are given \(11x \geq 22\). Our goal is to find the value of \(x\) that satisfies this inequality.

2. Isolate \(x\): To isolate \(x\), we need to divide both sides of the inequality by the coefficient of \(x\), which is 11.

[tex]\[ \frac{11x}{11} \geq \frac{22}{11} \][/tex]

3. Simplify the Expression: Simplify both sides of the inequality.

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

Thus, the solution to the inequality \(11x \geq 22\) is \(x \geq 2\).

Therefore, the correct choice is:
A. [tex]\(x \geq 2\)[/tex].