Sure, let's break down the sentence and translate it into an inequality step-by-step:
1. Identify the components of the sentence:
- "The difference of [tex]\( c \)[/tex] and 8" means we are considering the expression [tex]\( c - 8 \)[/tex].
- "is less than" translates to the inequality symbol [tex]\( < \)[/tex].
- "-24" is just the number -24.
2. Combine the components to form the inequality:
- We have the expression [tex]\( c - 8 \)[/tex].
- We use the inequality symbol [tex]\( < \)[/tex].
- We place -24 on the right side of the inequality symbol.
Therefore, translating the given sentence into an inequality, we get:
[tex]\[ c - 8 < -24 \][/tex]
