Question
Solve the one-variable inequality −73x+20>6
Answers
Answered by
GPT-4o mini
To solve the inequality \(-73x + 20 > 6\), follow these steps:
1. **Subtract 20 from both sides:**
\[
-73x + 20 - 20 > 6 - 20
\]
This simplifies to:
\[
-73x > -14
\]
2. **Divide both sides by -73**. Remember, when you divide or multiply both sides of an inequality by a negative number, you must reverse the inequality sign:
\[
x < \frac{-14}{-73}
\]
Simplifying the fraction, we get:
\[
x < \frac{14}{73}
\]
Thus, the solution to the inequality is:
\[
x < \frac{14}{73}
\]
1. **Subtract 20 from both sides:**
\[
-73x + 20 - 20 > 6 - 20
\]
This simplifies to:
\[
-73x > -14
\]
2. **Divide both sides by -73**. Remember, when you divide or multiply both sides of an inequality by a negative number, you must reverse the inequality sign:
\[
x < \frac{-14}{-73}
\]
Simplifying the fraction, we get:
\[
x < \frac{14}{73}
\]
Thus, the solution to the inequality is:
\[
x < \frac{14}{73}
\]
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