Question

directions: use this information to answer parts a and b.
16 - 7v < 2
part a
solve the inequality by entering the correct answer in the box.
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Explanation:

Step1: Subtract 16 from both sides

To isolate the term with \( v \), we subtract 16 from both sides of the inequality \( 16 - 7v < 2 \). This gives us \( 16 - 16 - 7v < 2 - 16 \), which simplifies to \( -7v < -14 \).

Step2: Divide both sides by -7 (and reverse inequality)

When dividing an inequality by a negative number, we must reverse the inequality sign. Dividing both sides of \( -7v < -14 \) by -7 gives \( \frac{-7v}{-7} > \frac{-14}{-7} \), which simplifies to \( v > 2 \).

Answer:

\( v > 2 \)