lve the​ inequality, if possible.

Question

3​(1+​x)≥12−2x
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Part 1
Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.
A.
The solution is  enter your response here.
​(Type an inequality. Simplify your​ answer.)
B.
The solution is all real numbers.
C.
There is no solution.
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Answer 1

To solve the inequality, let's simplify both sides:

3(1+x) ≥ 12 - 2x

First, distribute the 3 on the left side:

3 + 3x ≥ 12 - 2x

Combine like terms:

5x + 3 ≥ 12

Subtract 3 from both sides:

5x ≥ 9

Finally, divide both sides by 5 to solve for x:

x ≥ 9/5 or x ≥ 1.8

So the solution to the inequality is x ≥ 1.8.

Therefore, the correct choice is A. The solution is x ≥ 1.8.