Which numbers are in the solution set for y? Select All that apply: y+17<30
A 13
B 17
C 12
D 18
E 10
F 30
To find the solution set for y, we need to solve the inequality y + 17 < 30 by subtracting 17 from both sides:
y < 13
Therefore, the only number in the solution set for y is A. 13.
What is the answer
The numbers in the solution set for y are A. 13.
To find the numbers that are in the solution set for y in the given inequality y + 17 < 30, we need to solve the inequality.
Step 1: Start with the original inequality: y + 17 < 30.
Step 2: Subtract 17 from both sides of the inequality to isolate y: y < 30 - 17.
Simplifying further, we get:
y < 13.
Step 3: Based on the simplified inequality, we know that y is less than 13.
Now we can examine the options:
A) 13: Since the inequality is strict (y < 13), 13 is not in the solution set.
B) 17: Since the inequality is strict (y < 13), 17 is not in the solution set.
C) 12: Since 12 is less than 13, it is in the solution set.
D) 18: Since the inequality is strict (y < 13), 18 is not in the solution set.
E) 10: Since 10 is less than 13, it is in the solution set.
F) 30: Since the inequality is strict (y < 13), 30 is not in the solution set.
Based on our analysis, the numbers in the solution set for y are 12 and 10. Thus, the correct choices are C and E.