SOLUTION: How can you solve the inequality abs(x+3)>abs(x-4)?

Question 491867: How can you solve the inequality abs(x+3)>abs(x-4)?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
How can you solve the inequality
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abs(x+3)>abs(x-4)
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Plot x = -3 and x = 4 on a number line
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Find the solution set in each of the three intervals.
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If x = -10 you get: -x-3 > 4-x ; no solutions in x < -3
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If x = 0 you get: 3 > 4 ; no solutions in (-3,4)
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If x = 10 you get: x+3 > x-4 ; 3 > 4 : x >= 4
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Solution: x >= 4
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Cheers,
Stan H.
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