Question

Solve the inequality.
To solve the inequality, start by finding the value of z that makes 9z+15=51 true.
9z+15 < 51
9z+15
=
51

z
=
You got it!
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
z



9z+15 = 51
z = 4

Answer 1

To solve the inequality \( 9z + 15 < 51 \), we have already found that the related equation \( 9z + 15 = 51 \) gives us a boundary point of \( z = 4 \).

Now, we can proceed with solving the inequality step by step:

1. Start with the original inequality:
\[
9z + 15 < 51
\]

2. Subtract 15 from both sides:
\[
9z < 51 - 15
\]
\[
9z < 36
\]

3. Next, divide both sides by 9:
\[
z < \frac{36}{9}
\]
\[
z < 4
\]

So, the solution to the inequality \( 9z + 15 < 51 \) is:
\[
z < 4
\]

This means any number less than 4 will satisfy the inequality.