Question
Solve the inequality \( 7(x+4)>0 \) \[ \begin{array}{l}x<4 \\ x>-4 \\ x<-4 \\ x>4\end{array} \]
Ask by Cervantes Williams. in the United States
Feb 25,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The solution is \( x > -4 \).
Solution
To solve the inequality 7(x + 4) > 0, start by noting that the constant 7 is positive. Dividing both sides of the inequality by 7 (which does not change the inequality direction) gives:
x + 4 > 0
Now subtract 4 from both sides to isolate x:
x > -4
Among the choices provided, the correct answer is x > -4.
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Simplify this solution Mind Expander
To solve the inequality \( 7(x+4) > 0 \), we start by dividing both sides by 7 (which is positive, thus the direction of the inequality remains the same): \[ x + 4 > 0 \] Next, we isolate \( x \) by subtracting 4 from both sides: \[ x > -4 \] From the options provided, the correct answer is \( x > -4 \).
