To solve the inequality, you need to isolate/get x by itself:
171 > -6x Divide -6 on both sides [dividing/multiplying a negative number on
-28.5 < x [dividing/multiplying a negative number in an inequality causes the sign (<, >, ≤, ≥) to flip]
-28.5 < x [x is a number greater than -28.5]
So your graph should have an open circle at -28.5 (the first small line next to -28), and the arrow pointing to the right since x is greater than -28.5 (increasing) The 1st option is your answer
[use the o---> and put it at -28.5]
Answer:
D
Step-by-step explanation:
Lets go case by case.
Given the roots, a factor will be part of the equation if for some of the roots the factor becomes null, i.e., equal to 0.
Is there any root that makes (x+3)=0? No, as it only becomes 0 for x = - 3 and -3 is not a root. So A NO!
Is there a root that makes (x-1)=0? No, as it only becomes 0 for x=1 and 1 is not a root. So B NO!
(x-4)=0 only for x=4, and as 4 is not a root, C NO!
The last, (x-3)=0 if x=3. As 3 is one of the roots, (x-3) is a factor of our equation!
D is the only correct option!
C. The Y value does not change because you are only reflecting over x= lines. After the first, it is (-3.5). Then (7, 5)