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Mathematics 8 Online
OpenStudy (anonymous):

v

OpenStudy (cwrw238):

replace x by each option and check if they satisfy the equation remember that any value in the mod brackets becomes positive

OpenStudy (anonymous):

seems like NONE match ...

OpenStudy (cwrw238):

try 2

OpenStudy (anonymous):

I did do that @cwrw238

OpenStudy (cwrw238):

what does 'mod' bit give for x = 2?

OpenStudy (cwrw238):

i tried drawing it but draw not working

OpenStudy (anonymous):

whats 'mod' bit

OpenStudy (cwrw238):

the x - 10 with straight line parentheses

OpenStudy (cwrw238):

- also called the absolute value if expression inside is negative it becomes positive

OpenStudy (cwrw238):

\[\left| x - 10 \right|\]

OpenStudy (cwrw238):

r u there?

OpenStudy (cruffo):

Start by isolating the absolute value: \[\vert x-10 \vert =2x+4\] This sis true when \[x - 10 = 2x+4\] and when \[x-10 = -(2x+4)\] Then just solve the two linear equations to get \(x = -14\) and \(x = 2\). Check the solutions in the original problem: \(\vert -14-10 \vert -4 =2(-14)\) is not true, so -14 is not a good solution. \(\vert 2-10 \vert -4 =2(2)\) is true, and therefore the solution.

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