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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?
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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):
\[\left| x - 10 \right|\]
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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.