Solving the Inequality (3-x)/4 - 1 < (3x-1)/4: Step-by-Step Solution and Graph
Translation:
' (3-x)/4 - 1 < (3x-1)/4 '.
To eliminate the denominators, multiply both sides by 4, yielding:
' 3-x-4 < 3x-1 '.
Rearranging the terms, we get:
' -x-3x < -1-3+4 '.
Combining like terms, we have:
' -4x < 0 '.
Normalizing the coefficient to 1, we get:
' x > 0 '.
Represent the solution set of this inequality on a number line, as shown in the graph.
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