SOLUTION: 5-2x|≤4
5-2x≤4......or.....5-2x≥-4
-2x≤-1..............-2x≥-9
x≥1/2................x≤9/2
I understand that what I don't under
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Question 903850: 5-2x|≤4
5-2x≤4......or.....5-2x≥-4
-2x≤-1..............-2x≥-9
x≥1/2................x≤9/2
I understand that what I don't understand is how x≥1/2 or x≤9/2 can then be translated to mean 1/2≤x≤9/2....how do the signs change to be both in the same direction when they were both in opposite directions. Please help explain this to me.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
That "or" should be "and". This is because |x| < k turns into "x < k and x > k" for some positive number k.
You should end up with "x≥1/2 and x≤9/2" (again notice the "and")
Combining the two gives you 1/2≤x≤9/2
Side Note: x≥1/2 is the same as 1/2≤x. Everything is just flipped.
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