Translate the sentence into an inequality.Seven subtracted from the product of 5 and a number is at least -28.Use the variable c for the unknown number.

Respuesta :

We have to translate "Seven subtracted from the product of 5 and a number is at least -28".

We start with the product of 5 and a number, which we will call "c":

[tex]5\cdot c[/tex]

Seven substracted from the product 5c is equal to:

[tex]5c-7[/tex]

This difference is at least -28, meaning that is equal or greater than -28:

[tex]5c-7\ge-28[/tex]

We can solve this as:

[tex]\begin{gathered} 5c-7\ge-28 \\ 5c\ge-28+7 \\ 5c\ge-21 \\ c\ge-\frac{21}{5} \end{gathered}[/tex]

Answer: the sentence is represented by 5c - 7 ≥ -28.