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
```
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
```