Answered

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Which choice is the solution to the inequality below?

[tex]\[ 3x \geq 27 \][/tex]

A. \( x \geq 81 \)
B. \( x \geq 27 \)
C. \( x > 9 \)
D. [tex]\( x \geq 9 \)[/tex]

Sagot :

GinnyAnswer
To solve the inequality \( 3x \geq 27 \), follow these steps:

1. Identify the inequality: You start with \( 3x \geq 27 \).

2. Isolate the variable: To isolate \( x \), you need to divide both sides of the inequality by 3. This is done because the coefficient of \( x \) is 3.

[tex]\[ \frac{3x}{3} \geq \frac{27}{3} \][/tex]

3. Simplify: After dividing, the inequality simplifies to:

[tex]\[ x \geq 9 \][/tex]

Thus, the solution to the inequality \( 3x \geq 27 \) is \( x \geq 9 \).

Among the given choices, the correct answer is:
D. [tex]\( x \geq 9 \)[/tex]
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