Question
lve the inequality, if possible.
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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3(1+x)≥12−2x
Question content area bottom
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.
Help me solve thisTextbook Get more help
Clear all
Check answer
Answers
Answered by
GPT 3.5
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.
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.