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 variable, and write the inequality so that the x
term comes first. Do not solve the inequality.

Note: You will find the option to add a >
, <
, ≥
, or ≤
symbol in the Comparison (<)
keyboard.

(1 point).

1 answer

To express the statement "Ten less than twice a number is equal to at least 52" as an inequality using the variable \( x \), we can break it down as follows:

  1. "Twice a number" can be represented as \( 2x \).
  2. "Ten less than twice a number" can be represented as \( 2x - 10 \).
  3. "Is equal to at least 52" means that the expression is greater than or equal to 52.

Combining these components, the inequality becomes:

\[ 2x - 10 \geq 52 \]

This is the inequality that can be used to solve the problem.