Please help with this Algebra 2 question?

2020-09-06 11:25 pm

回答 (3)

2020-09-07 12:30 am
The answer is as follows:
2020-09-07 12:24 am
[(5 - (9 - 4x)/-2)] < -5
(2 - 2x) < -5
(2x - 2) < 5
2x < 7
x < 7/2
Graph C shows this inequality.
2020-09-07 4:14 am
Answer 'C' 
Method ; From each number line take a value near the limit and apply it to the equation. 
For 'A' ; Using x = 0 
5 - (9 - 4(0))/ - 2 => 
(5 - 9 - 0) / -2 =>
-4/-2 => 4 > - 5  So discount 'a' 

For 'B' ; Using x = - 2  
5 - (9- 4(-2) / -2 => 
5 - (9 + 8) / -2 => 
5 - 17 / -2 => 
-12/-2 = (+)6 > -5  So discount 'b' 

For 'C' ; Using x = 4 
5- (9 - 4(4))/ - 2 => 
5 - (9 - 16) / -2 => 
5 - - 7 / -2 => 
12 / -2 = -6 < - 5  So 'c' is correct. 
For 'D' ; x = 3 
5 - ( 9 - 4(3)/ -2 => 
5 - (9 -12) / -2 => 
5 + 3/ -2 => 
8/-2 = -4 > -5  So discount 'D'. 


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