# SOLUTION: I need to solve a compound inequality 7>-4x+6 or 10&#8804;-5x+4 I have the solution as (-&#8734;,&#8734;)is this correct? someone please, thank you

Algebra ->  Algebra  -> Linear-equations -> SOLUTION: I need to solve a compound inequality 7>-4x+6 or 10&#8804;-5x+4 I have the solution as (-&#8734;,&#8734;)is this correct? someone please, thank you      Log On

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 Question 250786: I need to solve a compound inequality 7>-4x+6 or 10≤-5x+4 I have the solution as (-∞,∞)is this correct? someone please, thank youAnswer by drk(1908)   (Show Source): You can put this solution on YOUR website!You are given the following 7>-4x+6 or 10≤-5x+4. We first solve the left side: 7 > -4x + 6 1 > -4X -1/4 < X; notice the switch of inequality when dividing by (-). Now, we solve the right side: 10 ≤ -5x + 4 6 ≤ -5x X ≤ -(6/5); notice the switch of inequality when dividing by (-). So, the answer I have is: (-∞,-6/5] u (-1/4,∞).