Translate the sentence into an inequality. Four subtracted from the product of 7 and a number is at most-23
7x - 4 ≤ -23
Let's break down the sentence:
- "Four subtracted from the product of 7 and a number" can be written as "7x - 4" where x represents the unknown number.
- "Is at most -23" can be written as "≤ -23"
Combining these parts, the inequality is:
7x - 4 ≤ -23
To translate the given sentence into an inequality, we can follow these steps:
1. Let's begin by assigning a variable to the unknown number. Let's use the variable "x" to represent it.
2. The product of 7 and the number "x" can be expressed as 7x.
3. "Four subtracted from the product of 7 and a number" can be written as 7x - 4.
4. The phrase "is at most" indicates that we need to use the less than or equal to symbol (≤).
5. Finally, we can write the translated sentence as an inequality: 7x - 4 ≤ -23.
That's it! The inequality representing the given sentence is 7x - 4 ≤ -23.