Destroyer QR # 101

[Jaylee777]

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Am I missing something here?

question asks:

Solve
Absolute value of (x-3)/2 > or = to 5

Answer states to remove absolute value sign giving

(x-3)/2 > or = 5 and (x-3)/2 < or = -5

which gives
x-3 > or = 10 and x-3 < or = -10
x > or = 13 and x < or = -7

Why doesn't the inequal sign flip when we multiply both sides by two?

 

[Streetwolf]

Because 2 is positive, you only swap inequality signs when you multiply/divide by a negative number.