SOLUTION: Solve the inequality (2-x)/(3x+1) less than or equal to 0 giving answer in interval notation

Question 937712: Solve the inequality
(2-x)/(3x+1) less than or equal to 0 giving answer in interval notation
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Critical values of x are at -(1/3) and 2.

Check the sign of the expression in the three intervals (-infinity, -1/3], [-1/3, 2], [2, infinity).

Interval______________sign comb.______sign
____________(+)/(-)___________(-)
________(+)/(+)_____________(+)
____________(-)/(-)___________(+)

Solution: ( -infinity, -1/3 ]
because the sign being negative for the rational expression means that the expression is less than (or in this case, equal to ) zero.
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