You know if something is a function or not because the X will never be used twice in a set. If it is, then it's not a function.
A. Uses -1 twice
B. Uses Nothing twice (good)
C. Uses 0 twice
D. Uses 0 twice
B is your answer
I one is 8x<24 and -8≤2x-4
Hence x <24/8 =3 and -4≤2x: divide by positive 2 to get -2≤x
Hence solution is -2≤x<3
Therefore c is the correct matching for 1.
2) 5x-2>13 or -4x≥8
i.e. 5x>15 or x≤8/(-4) = -2 (since dividing by negative inequality reverses)
Or x>3 or x ≤-2
Hence solution is two regions to the right of 3 excluding 3 and left of -2 including -2.
Graph b is the correct match.
3) -25≤9x+2<20
Subtract 2
-27≤9x<18: Now divide by positive 9
-3≤x<2
Hence graph is the region between -3 and 2 including only -3.
Graph a is correct matching for question 3.
Answer:
-4x
Step-by-step explanation:
5x - 9x
Factor out x
x( 5-9)
x ( -4)
-4x
