Answer:
D) 23 is NOT in the solution set of x − 8 < 14
Step-by-step explanation:
x − 8 < 14
add 8 to both sides
x - 8 + 8 < 14 + 8
x < 22
- so x is anything under 22
- 22 is the max number
A) 17 less than 22, YES !
B) 19 less than 22, YES !
C) 21 less than 22, YES !
D) 23 less than 22, NO :D
23 is bigger than 22
Hope it helps :)
If you have any questions or anymore help lmk, happy to help with any school work!!
Have a nice day, you got this !
[tex]\rule{50}{1}\large\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]
Which number is not in the solution set of x-8<14?
[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]
First of all, We need to solve the inequality by adding 8 on both sides:-
[tex]\longmapsto\sf{x < 22}[/tex]
Now, the numbers that make this inequality true are less than 22.
Since we're asked to find the number that's not in the solution set, we will do just that .
So the number not in the solution set is a number greater than 22.
The only number greater than 22 is:-
23
[tex]\longmapsto\underline{\boxed{\textbf{Option D}}}[/tex]
#TogetherWeGoFar
[tex]\rule{300}{1}[/tex]
