Question

4 is the solution to the equation and the boundary point, or the point that separates numbers that are solutions to the inequality from numbers that are not solutions. use the solution to the equation to solve the inequality. \\(9z + 15 < 51\\)

Explanation:

Step1: Subtract 15 from both sides

To isolate the term with \( z \), we subtract 15 from both sides of the inequality \( 9z + 15 < 51 \). This gives us \( 9z + 15 - 15 < 51 - 15 \), which simplifies to \( 9z < 36 \).

Step2: Divide both sides by 9

To solve for \( z \), we divide both sides of the inequality \( 9z < 36 \) by 9. This gives us \( \frac{9z}{9} < \frac{36}{9} \), which simplifies to \( z < 4 \).

Answer:

The solution to the inequality \( 9z + 15 < 51 \) is \( z < 4 \).