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.

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(1 point)

1 answer

To translate the given statement "Ten less than twice a number is equal to at least 52" into an inequality, we can start with the following:

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

Putting this together, the inequality becomes:

\[ 2x - 10 ≥ 52 \]

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