Hurry hurry! amber is solving the inequality |x - 6| -12< 13 by graphing. which equations should amber graph?

y1 = Ix+6I, y2 = 25

Answer with explanation:

The given inequality which is a combination of Modulus, variable x and integers, is

→ |x-6|-12 < 13

|x|=x,if x≥0

   and , -x if x<0.

|x-6|=x-6,when x-6≥0→x≥6

and, -(x-6),when x-6<0→x<6

→|x-6|-12<13

when , x≥6,the above inequality becomes

→x-6-12<13

→x-18<13

→x<18+13

→x<31

OR

when ,x<6,the inequality transforms to

→-(x-6)-12<13

→-x+6-12<13

→ -x-6<13

→ -x<13+6

→ -x<19

→ x>-19

The equations that Amber should graph

1. X < 31

2. x > -19

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

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