Question

Translate the sentence into an inequality.The sum of a number times 10 and 21 is less than 23.Use the variable w for the unknown number.

Answer 1

Use algebraic language to represent each part of the sentence.

The phrase "a number times 10" can be written as:

$10w$

The phrase "the sum of (a number times 10) and 21" can be written as "the sum of 10w and 21", which can also be written as:

$10w+21$

Since all that expression is less than 23, then the expression "The sum of a number times 10 and 21 is less than 23" translates to:

$10w+21<23$