Answer :
Sure! Let's break down the statement "negative 12 times f plus 18 is at least 89" into a mathematical inequality step-by-step.
1. Identify Key Phrases:
- "Negative 12 times f": This can be translated to [tex]\(-12f\)[/tex].
- "Plus 18": This means you add 18 to [tex]\(-12f\)[/tex], so it becomes [tex]\(-12f + 18\)[/tex].
- "Is at least 89": This means the expression should be greater than or equal to 89, represented as [tex]\( \geq 89\)[/tex].
2. Combine the Parts:
Bringing all these parts together, the inequality becomes [tex]\(-12f + 18 \geq 89\)[/tex].
So, the correct inequality that represents the statement is [tex]\(-12f + 18 \geq 89\)[/tex].
The selected option is:
```
-12 t + 18 ≥ 89
```
1. Identify Key Phrases:
- "Negative 12 times f": This can be translated to [tex]\(-12f\)[/tex].
- "Plus 18": This means you add 18 to [tex]\(-12f\)[/tex], so it becomes [tex]\(-12f + 18\)[/tex].
- "Is at least 89": This means the expression should be greater than or equal to 89, represented as [tex]\( \geq 89\)[/tex].
2. Combine the Parts:
Bringing all these parts together, the inequality becomes [tex]\(-12f + 18 \geq 89\)[/tex].
So, the correct inequality that represents the statement is [tex]\(-12f + 18 \geq 89\)[/tex].
The selected option is:
```
-12 t + 18 ≥ 89
```
