The quotient of X and three is at least -17 translate, this sentence into an inequality
X/3 ≥ -17
The inequality can be translated as:
X/3 ≥ -17
To translate the given sentence into an inequality, we can use the following steps:
Step 1: Identify the keywords and phrases.
- "The quotient of X and three" indicates that we need to divide X by 3.
- "Is at least" suggests a greater than or equal to symbol.
- "-17" represents the value -17.
Step 2: Write the mathematical expression.
The quotient of X and three can be represented as X/3.
Step 3: Combine the mathematical expression and the inequality symbol.
Since the sentence states "is at least," we use the greater than or equal to symbol (≥).
Step 4: Write the inequality.
Combining the steps above, the inequality translation is:
X/3 ≥ -17