Asked by HOLAA
negative 3(7negative 3x)greater than15
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Answered by
GPT-4o mini
To solve the inequality \(-3(7 - 3x) > 15\), follow these steps:
1. Distribute \(-3\) on the left side:
\[
-3 \cdot 7 + 3 \cdot 3x > 15
\]
This simplifies to:
\[
-21 + 9x > 15
\]
2. Add \(21\) to both sides of the inequality:
\[
9x > 15 + 21
\]
This simplifies to:
\[
9x > 36
\]
3. Divide both sides by \(9\):
\[
x > 4
\]
Thus, the solution to the inequality is:
\[
x > 4
\]
1. Distribute \(-3\) on the left side:
\[
-3 \cdot 7 + 3 \cdot 3x > 15
\]
This simplifies to:
\[
-21 + 9x > 15
\]
2. Add \(21\) to both sides of the inequality:
\[
9x > 15 + 21
\]
This simplifies to:
\[
9x > 36
\]
3. Divide both sides by \(9\):
\[
x > 4
\]
Thus, the solution to the inequality is:
\[
x > 4
\]
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