High School

Write the inequality that represents the statement: "6 times [tex]$x$[/tex] minus 17 is fewer than 145."

A. [tex]$6x - 17 \leq 145$[/tex]

B. [tex]$6x - 17 \geq 145$[/tex]

C. [tex]$6x - 17 \ \textless \ 145$[/tex]

D. [tex]$6x - 17 \ \textgreater \ 145$[/tex]

Answer :

Certainly! Let's break down the statement "6 times [tex]\( x \)[/tex] minus 17 is fewer than 145" into an inequality.

1. Translate the Words to Math:
- "6 times [tex]\( x \)[/tex]" is written as [tex]\( 6x \)[/tex].
- "6 times [tex]\( x \)[/tex] minus 17" translates to [tex]\( 6x - 17 \)[/tex].
- "is fewer than 145" means that the expression is less than 145.

2. Combine Everything:
This gives us the inequality:
[tex]\[
6x - 17 < 145
\][/tex]

Therefore, the correct inequality that represents the statement is:
[tex]\[
6x - 17 < 145
\][/tex]

This matches the option:
```
6 x-17<145
```

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