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Question 438039: I,m haveing problems solving this compound inequality. Please explaine steps.
5>-4x+4 and 7< or equal to -4x+2. Thank you
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! 5>-4x+4 and 7< or equal to -4x+2
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5>-4x+4
add -4 to both sides
1>-4x
divide both sides by 4
1/4>-x
multiply both sides by -1 and switch inequality sign
-1/4
or
x>-1/4
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7<=-4x+2
add-2 to both sides
5<=-4x
divide both sides by 4
5/4<=-x
multiply both sides by -1 and switch inequality sign
-5/4>=x
or
x<=-5/4
ans:
Since this is a compound inequality, in interval notation would be written:
(-infinity,-5/4] U (-1/4, infinity)
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