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replace x by each option and check if they satisfy the equation remember that any value in the mod brackets becomes positive
seems like NONE match ...
try 2
I did do that @cwrw238
what does 'mod' bit give for x = 2?
i tried drawing it but draw not working
whats 'mod' bit
the x - 10 with straight line parentheses
- also called the absolute value if expression inside is negative it becomes positive
\[\left| x - 10 \right|\]
r u there?
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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