Is this statement true or false, and if false how can the underlined portion be corrected to be true?

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If #ul(|y+8|+2=6)# then #y+8=+-4#

1 Answer
Apr 20, 2018

TRUE

Explanation:

Given: #|y+8|+2=6 color(white)("d")->color(white)("d")y+8=+-4#

Subtract 2 from both sides

#|y+8|=4#

Given that for the condition of TRUE then #color(brown)("Left hand side = RHS")#

So we must have:

#|+-4|=+4#

Thus #y+8=+-4#

So the given is true