Ten less than twice a number is equal to at least 52. What are all the possible values of the number? Write an inequality that could be used to solve this problem. Use the letter x as the varible, and write the inequality so that x term comes first. Do not solve the inequality.

Answer 1

To express the situation "ten less than twice a number is equal to at least 52" in terms of an inequality, we can first translate the phrase into a mathematical expression.

Let \( x \) represent the number.

1. Twice the number is represented as \( 2x \).
2. Ten less than this is written as \( 2x - 10 \).
3. The phrase "is equal to at least 52" translates to "greater than or equal to 52", which we represent as \(\geq 52\).

Putting it all together, we can write the inequality as:

\[ 2x - 10 \geq 52 \]

This inequality expresses the condition described in the problem.