Solve 3x – 9 ≥ 27 – 6x.A.x ≥ 4B.x ≥ –12C.x ≤ –12D.x ≤ 4SUBMITarrow_backPREVIOUS

Question

$3x - 9 \geq 27 - 6x.$

Options:
A. $x \geq 4$
B. $x \geq -12$
C. $x \leq -12$
D. $x \leq 4$

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To solve the inequality 3x - 9 ≥ 27 - 6x, follow these steps:

Step 1: Add 6x to both sides to get all the x terms on one side. This gives you 3x + 6x - 9 ≥ 27, which simplifies to 9x - 9 ≥ 27.

Step 2: Add 9 to both sides to isolate the x term. This gives you 9x ≥ 36.

Step 3: Divide both sides by 9 to solve for x. This gives you x ≥ 4.

So, the solution to the inequality is x ≥ 4, which corresponds to option A.

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