Question

Translate the sentence "Ten times the sum of a number and 24 is greater than -21" into an inequality using the variable w for the unknown number.

A) 10(w + 24) > -21
B) 10(w + 24) < -21
C) 10(w - 24) > -21
D) 10(w - 24) < -21

Answer 1

The correct translation of the statement 'Ten times the sum of a number and 24 is greater than -21' into an inequality using 'w' for the unknown number is 10(w + 24) > -21 (option A).

Step-by-step explanation:

The question asks us to translate a verbal statement into a math inequality. The sentence 'Ten times the sum of a number and 24 is greater than -21' involves finding the unknown number, which we will represent with the variable 'w'. To set up the inequality, we multiply the sum of 'w' and 24 by 10, and this product should be greater than -21. Thus, the correct translation of the verbal statement into an inequality is 10(w + 24) > -21, which corresponds to option A).