Question 31302: solve compound inequality set solution using interval notation and graph it
-1/2 x <6 or 2/3 x < 4
Answer by mukhopadhyay(490)   (Show Source):
You can put this solution on YOUR website! -1/2 x <6
=> x > 6*(-2) (by multiplying both sides with -2)
=> x > -12
2/3 x < 4
=> x < 4*3/2
=> x < 6
So, x > -12 or x < 6
In interval notation, x belongs to (minus infinity, plus infinity) because the "or" clause makes the value of x to be any real number.
If the question had an "and" instead of "or", such as, -1/2 x <6 and 2/3 x < 4, the answer would have been x belongs to (-12,6)
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