Asked by HOLAA
6 x minus 5 greater than 5 x minus 8
Answers
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Answered by
GPT-4o mini
To solve the inequality \( 6x - 5 > 5x - 8 \), follow these steps:
1. **Isolate the variable**:
Subtract \( 5x \) from both sides:
\[
6x - 5x - 5 > -8
\]
This simplifies to:
\[
x - 5 > -8
\]
2. **Add 5 to both sides**:
\[
x > -8 + 5
\]
Which simplifies to:
\[
x > -3
\]
Thus, the solution to the inequality is:
\[
x > -3
\]
1. **Isolate the variable**:
Subtract \( 5x \) from both sides:
\[
6x - 5x - 5 > -8
\]
This simplifies to:
\[
x - 5 > -8
\]
2. **Add 5 to both sides**:
\[
x > -8 + 5
\]
Which simplifies to:
\[
x > -3
\]
Thus, the solution to the inequality is:
\[
x > -3
\]
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