How do I write an equation or an inequality
for this:
the product of a number z and 12 is 60
12z = 60
To write an equation for the given problem, we can start by translating the words into mathematical symbols.
Let's assign the unknown number to the variable "z".
According to the problem, the product of "z" and 12 is equal to 60. Mathematically, we can write this as:
z * 12 = 60
This equation states that when "z" is multiplied by 12, the result is 60.
If you want to write an inequality instead, you have a few options based on what you are looking for. Here are a few examples:
1. If you want an inequality that expresses the condition "the product is greater than 60," you can write:
z * 12 > 60
2. If you want an inequality that expresses the condition "the product is less than 60," you can write:
z * 12 < 60
3. If you want an inequality that expresses the condition "the product is greater than or equal to 60," you can write:
z * 12 ≥ 60
4. If you want an inequality that expresses the condition "the product is less than or equal to 60," you can write:
z * 12 ≤ 60
These inequalities give you different conditions based on whether the product is greater than, less than, or equal to 60. Choose the one that best suits your needs.
To write an equation or an inequality for the given problem, follow these steps:
Step 1: Identify the variables:
In the given problem, the variable is "z," which represents the unknown number.
Step 2: Translate the verbal expression into a mathematical equation or inequality:
The problem states that the product of a number "z" and 12 is 60. To translate this into an equation, you can write:
z * 12 = 60
Step 3: Solve the equation:
To find the value of "z," solve the equation by isolating the variable. In this case, you can divide both sides of the equation by 12:
(z * 12) / 12 = 60 / 12
z = 5
Therefore, the solution to the equation is z = 5.