Math, asked by Vishurj6312, 1 year ago

For which equations below is x = –3 a possible solution? Check all that apply.
a
|–x| = 3
b
–|x| = –3
c
|–x| = –3
d
|x| = 3
e
-|x| = 3
f
|x| = –3

Answers

Answered by mysticd
0

Answer:

 Options \: \green { b, c \:and \: d } \: are \: true

Step-by-step explanation:

 We \: know \: that ,\\i) |x| = x , \: if \: x > 0 , \\ii) |x| = -x , If \: x < 0

 Here , x = -3 < 0\: ---(1)

a) |-x|  = -(-x) = x = -3 \:  [ False ]

b)- |x|  = -(-x )= x  = -3 \:  [ True ]

c) |-x|  = -(-x )= x =  -3\:  [ True]

d) |x|  = -x = -(-3) = 3 \:  [ True ]

e) -|x|  = -(-x) = x  = -3 \:  [ False]

f) |x|  = -x =-( -3) = 3 \:  [ False ]

Therefore.,

 Options \: \green { b, c \:and \: d } \: are \: true

•••♪

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