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When x<3/2, this function is -2x+11>13 so -2x>2 or -x>1 which is the same as x<-1 overriding the condition that x<3/2. So x<-1 is one solution. When x>3/2 the function is 2x-3+8>13; 2x>8 so x>4, which overrides x>3/2. So x>4 is another solution. The solution is x<-1 or x>4. For -1<x<4 the inequality is false. To graph the solution you can use a single line with the points -1 and 4 marked on it. Erase or otherwise indicate that the line segment between -1 and 4 is to be excluded from the solution. Alternatively use an xy presentation and draw the vertical lines x=-1 and x=4. Blackout the region between the lines as being excluded from the solution.

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