Solve the following using the Substitution Method your work must be shown step by step: x + 2y = 2
1 answer:
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Answer:
Hello your question is incomplete below is the complete question
option B is correct
f(x) = 1 if x ≤ 0
-2 if x > 0
Step-by-step explanation:
The Rule of the piece-wise-defined function is :
from the given figure attached it can be seen that as : x ≤ 0 , y = 1
while for x > 0 , y = -2
therefore option B is correct
f(x) = 1 if x ≤ 0
-2 if x > 0
If 2x+7>=0, x>=-3.5 then |2x+7|=2x+7.
Then the inequality becomes:
2x+7>23, 2x>16, x>8.(which is an acceptable result since we already assumed x>=-3.5)
If 2x+7<0, x<-3.5 then |2x+7|= -(2x+7).
Then the inequality becomes:
-(2x+7)>23, 2x+7<-23, 2x <-30, x<-15.
(which is an acceptable result since we already assumed x<-3.5)
Thus the answer is x<-15 or x>8.
The graph is simple. You draw the line of real numbers and "shadow" all numbers above 8 and all numbers bellow - 15.
