Translate the sentence into an inequality.Two subtracted from the product of 8 and a number is less than −30.Use the variable c for the unknown number.
Question
Translate the sentence into an inequality.
Two subtracted from the product of 8 and a number is less than −30.
Use the variable c for the unknown number.
Solution
The sentence "Two subtracted from the product of 8 and a number is less than -30" can be translated into an inequality as follows:
Step 1: Identify the unknown. In this case, the problem tells us to use the variable c for the unknown number.
Step 2: Translate the words into mathematical symbols. The phrase "the product of 8 and a number" can be written as 8c.
Step 3: Continue translating. The phrase "two subtracted from" means we subtract 2 from the product, so we write this as 8c - 2.
Step 4: The phrase "is less than" translates to the less than symbol <.
Step 5: Finally, the number -30 stays as it is.
So, putting it all together, the inequality is: 8c - 2 < -30.
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