To solve the inequality \( 35 < 5x \), you can follow these steps:
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Isolate \( x \): Divide both sides of the inequality by \( 5 \). Remember that when you divide by a positive number, the direction of the inequality remains the same.
\[ \frac{35}{5} < x \]
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Simplify:
\[ 7 < x \]
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Rewrite the inequality: This can also be written as:
\[ x > 7 \]
So, the solution to the inequality \( 35 < 5x \) is \( x > 7 \).