Solve the​ inequality, if possible.

Question

2
​(3plus​x)greater than or equals10minus3
x
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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.

Answer 1

To solve the inequality, we first simplify it:
2(3 + x) >= 10 - 3x
Distribute 2:
6 + 2x >= 10 - 3x
Combine like terms:
5x >= 4
Divide both sides by 5:
x >= 4/5

So, the solution to the inequality is x >= 4/5.
A. The solution is x >= 4/5.