Questions: Solve for h. 97-6h ≤ 7

Transcript text: Solve for $h$. \[ 97-6 h \leq 7 \]

Solution

Solution Steps

Step 1: Isolate the Variable Term

To solve the inequality $97 - 6h \leq 7$, we first need to isolate the term containing the variable $h$. We do this by subtracting 97 from both sides of the inequality:

\[ 97 - 6h - 97 \leq 7 - 97 \]

This simplifies to:

\[ -6h \leq -90 \]

Step 2: Solve for the Variable

Next, we solve for $h$ by dividing both sides of the inequality by $-6$. Remember that dividing or multiplying both sides of an inequality by a negative number reverses the inequality sign:

\[ h \geq \frac{-90}{-6} \]

This simplifies to:

\[ h \geq 15 \]