Question
following inequality: \( 15+3 x>15 \) equality,
Ask by Allan Fowler. in the United States
Mar 06,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
La solución de la desigualdad \( 15 + 3x > 15 \) es \( x > 0 \).
Solution
Solve the equation by following steps:
- step0: Solve for \(x\):
\(15+3x=15\)
- step1: Move the constant to the right side:
\(3x=15-15\)
- step2: Subtract the terms:
\(3x=0\)
- step3: Rewrite the expression:
\(x=0\)
Para resolver la desigualdad \( 15 + 3x > 15 \), primero convertimos la desigualdad en una ecuación:
\[
15 + 3x = 15
\]
Al resolver esta ecuación, encontramos que:
\[
x = 0
\]
Ahora, para la desigualdad original \( 15 + 3x > 15 \), restamos 15 de ambos lados:
\[
3x > 0
\]
Dividiendo ambos lados por 3, obtenemos:
\[
x > 0
\]
Por lo tanto, la solución de la desigualdad es:
\[
x > 0
\]
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Simplify this solution Mind Expander
To solve the inequality \( 15 + 3x > 15 \), we first subtract 15 from both sides, which simplifies to \( 3x > 0 \). Dividing by 3 gives us \( x > 0 \). This means that any value of \( x \) greater than 0 will satisfy the inequality. So, if you're ever feeling a bit like a math detective, just remember that positive numbers will always lead you to the solution here! Now, keep in mind that inequalities can sometimes lead to confusion, especially when it comes to multiplying or dividing by negative numbers. If you do that, don’t forget to flip the inequality sign! This rule is crucial for maintaining the correct relationship between both sides of the inequality. Happy solving!
