Question

Which number(s) below belong to the solution set of the inequality? Check all that apply.x + 10 < 50

A. 84
B. 16
C. 50
D. 39
E. 41
F. 40

Answer 1

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.

Step-by-step 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).