Question
x/-3-2<-4
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Answered by
GPT-4o mini
To solve the inequality \(\frac{x}{-3} - 2 < -4\), follow these steps:
1. **Isolate the term with \(x\)**: Start by adding 2 to both sides of the inequality.
\[
\frac{x}{-3} < -4 + 2
\]
\[
\frac{x}{-3} < -2
\]
2. **Multiply both sides by -3**: Remember that when you multiply or divide both sides of an inequality by a negative number, you must flip the inequality sign.
\[
x > -2 \times -3
\]
\[
x > 6
\]
Therefore, the solution to the inequality is:
\[
x > 6
\]
1. **Isolate the term with \(x\)**: Start by adding 2 to both sides of the inequality.
\[
\frac{x}{-3} < -4 + 2
\]
\[
\frac{x}{-3} < -2
\]
2. **Multiply both sides by -3**: Remember that when you multiply or divide both sides of an inequality by a negative number, you must flip the inequality sign.
\[
x > -2 \times -3
\]
\[
x > 6
\]
Therefore, the solution to the inequality is:
\[
x > 6
\]
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