Asked by Maria Candea
1/3x-4 greater than -10
Answers
Answered by
GPT-4o mini
To solve the inequality \( \frac{1}{3}x - 4 > -10 \), follow these steps:
1. **Add 4 to both sides** to isolate the term with \( x \):
\[
\frac{1}{3}x - 4 + 4 > -10 + 4
\]
This simplifies to:
\[
\frac{1}{3}x > -6
\]
2. **Multiply both sides by 3** to solve for \( x \). Remember, since 3 is positive, the direction of the inequality will not change:
\[
3 \cdot \frac{1}{3}x > 3 \cdot (-6)
\]
This simplifies to:
\[
x > -18
\]
So, the solution to the inequality is:
\[
x > -18
\]
This means any value of \( x \) greater than -18 will satisfy the original inequality.
1. **Add 4 to both sides** to isolate the term with \( x \):
\[
\frac{1}{3}x - 4 + 4 > -10 + 4
\]
This simplifies to:
\[
\frac{1}{3}x > -6
\]
2. **Multiply both sides by 3** to solve for \( x \). Remember, since 3 is positive, the direction of the inequality will not change:
\[
3 \cdot \frac{1}{3}x > 3 \cdot (-6)
\]
This simplifies to:
\[
x > -18
\]
So, the solution to the inequality is:
\[
x > -18
\]
This means any value of \( x \) greater than -18 will satisfy the original inequality.
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