Question
Solve the inequality \( 3(x+2)>0 \) \( x<2 \) \( x>2 \) \( x<-2 \) \( x>-2 \)
Ask by Colon Hampton. in the United States
Feb 25,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( x > -2 \)
Solution
We start with the inequality:
3(x + 2) > 0.
Since 3 is positive, we can divide both sides by 3 without changing the inequality sign:
x + 2 > 0.
Subtract 2 from both sides:
x > -2.
Thus, the correct answer is: x > -2.
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Simplify this solution Mind Expander
To solve the inequality \( 3(x+2) > 0 \), first, divide both sides by 3 (since 3 is positive, the inequality doesn't change direction). This gives us \( x + 2 > 0 \). Next, subtract 2 from both sides to isolate \( x \): \[ x > -2 \] So the solution to the inequality is \( x > -2 \). Now, you can choose the correct option based on this solution, which is \( x > -2 \).
