Question #dc951

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Answer 1 · 2017-09-22T22:27:54

#x = -3/10# #x = -1/2#

We need to solve this for both a positive and negative value in the absolute bars., this is because the absolute value is always positive so:

Remove bars:

#10x + 4 = 1#

Subtract 4 from both sides:

#10x = -3#

Divide both sides by 10:

#x = -3/10#

Now solve for #| -( 10x + 4) | = 1#

Remove bars:

#-( 10x + 4) = 1#

Remove bracket by multiplying:

#-10x -4 = 1#

Add 4 to both sides:

#-10x = 5#

Divide both sides by -10:

#x = - 5/10= -1/2#

Solutions are:

#x = -3/10#

#x = -1/2#