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Question 54776: solve each of the following inequality. express your final answer using interval notation.
a) -2>-2y-10>-22
b) x/4+3 <4
C) x?8+5 >4
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! solve each of the following inequality. express your final answer using interval notation.
a) -2>-2y-10>-22
Divide thru by -2 to get:
2<2y-5<11
Add 5 along the line to get:
7<2y<16
Divide thru by 2 to get:
(7/2)
Interval notation: (7/2,8)
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b) x/4+3 <4
Subtract 3 from both sides:
x/4 < 1
Multiply both sides by 4 to get:
x<4
Interval notation:
(-inf,4)
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C) x/8+5 >4
Subtract 5 from both sides:
x/8>-1
Multiply by 8 to get:
x>-8
Interval notation: (-inf,-8)
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Cheers,
Stan H.
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