Question Solve the inequality \( -14 z<-37 \), and write the solution in interval notation.

To solve the inequality \( -14 z < -37 \), start by dividing both sides by \( -14 \). Remember that when dividing or multiplying an inequality by a negative number, you need to reverse the inequality sign. Thus, the inequality becomes \( z > \frac{-37}{-14} \), which simplifies to \( z > \frac{37}{14} \) or \( z > 2.64 \). In interval notation, the solution is written as \( (2.64, \infty) \). So any value of \( z \) greater than approximately 2.64 will satisfy the inequality!