High School

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Which number(s) below belong to the solution set of the inequality?

\[x + 10 < 50\]

Check all that apply:

A. 84

B. 16

C. 50

D. 39

E. 41

F. 40

Answer :

Final answer:

The numbers that belong to the solution set of the inequality x + 10 < 50 are those that are less than 40. Among the given options, B (16) and D (39) satisfy this condition.

Explanation:

The student is asking which number(s) from the list are part of the solution set for the inequality x + 10 < 50.

First, let's solve this inequality for x:

  • Subtract 10 from both sides of the inequality: x < 40.

This means that any number that is less than 40 will satisfy the inequality. Now let's check the given options:

  • A. 84 (This is greater than 40, so it is not part of the solution set)
  • B. 16 (This is less than 40, so it is part of the solution set)
  • C. 50 (This is equal to 40 after subtracting 10, so it is not part of the solution set since the inequality is strictly less than)
  • D. 39 (This is less than 40, so it is part of the solution set)
  • E. 41 (This is greater than 40, so it is not part of the solution set)
  • F. 40 (This is equal to 40, so it is not part of the solution set since the inequality is strictly less than)

The correct answers are B (16) and D (39).

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