Question

in this problem ABS(X)is the mathematical value of X without regard to its sign. for
example ABS(3)IS 3 and ABS(-3) is also 3.if the equation ABS(x+12)+ABS(X-5)=r is
satisfied by infinitely many values of x the value of r is​

Answer 1

Answer:

[17, infinity)

Step-by-step explanation:

if X =< -12, -(X + 12) - (X -5) = r,

-2x -7 = r

X= (r +7)/-2

r >= 17

if -12<X <5

then

X +12-(x-5) =r

r = 17

if X =>5

X+12+x-5=r

2x + 7 = r

r=>17

therefore for x belongs to real no.

r belongs to [17, infinity)