Question

Write the verbal sentence as an equation, or an inequality. Fourteen plus the product of twelve and a number \(y\) is less than or equal to fifty.

Short answer

14 + 12y <= 50

Step-by-step solution

Identify the components of the sentence

Here, we breakdown our sentence into different parts. 'Fourteen' is a number which can be denoted as 14. Then, we see 'the product of twelve and a number y' which means we have to multiply 12 and y, denoted as 12y. Finally, 'is less than or equal to fifty' is denoted by <= 50.

Decide the format

After identifying all the key parts from our sentence, we know that the statement in question here is an inequality since 'is less than or equal to fifty' implies a comparison.

Put it all together

Now, we put all the parts from step 1 and step 2 together. The verbal statement 'Fourteen plus the product of twelve and a number y is less than or equal to fifty' is translated to '14 + 12y <= 50'.