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Sagot :
[tex]|x+2|+16=14 \ \ \ \ | subtract\ 16\\\\
|x+2|=-2\\\\
x+2=-2\ \ \ or\ \ \ -x-2=-2\\\\
x=-4\ \ \ \ or\ \ \ \ \ -x=0\\\\
x=-4\ \ \ or\ \ \ \ x=0[/tex]
(x+2) + 16 = 14
-16] [-16
x+2 = -2
-2] [-2
x = -4
so the logical option is option 2, but you should put your numbers back into the original equation to check they're right.
when x = -4
(x+2) +16
= (-4 +2) +16
= -2 + 16
= 14 which is correct
when x = 0
(x+2) + 16
= (0+2) + 16
= 2 + 16
= 18 which is incorrect
and since we worked out x and know that none of the other numerical options are possible, I would say option 4 (no solution) is the answer.
Hope this helped.
-16] [-16
x+2 = -2
-2] [-2
x = -4
so the logical option is option 2, but you should put your numbers back into the original equation to check they're right.
when x = -4
(x+2) +16
= (-4 +2) +16
= -2 + 16
= 14 which is correct
when x = 0
(x+2) + 16
= (0+2) + 16
= 2 + 16
= 18 which is incorrect
and since we worked out x and know that none of the other numerical options are possible, I would say option 4 (no solution) is the answer.
Hope this helped.
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