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Question

Solve the following linear inequations and graph the solution set on a real number line.
2(3x5)>5(132x),xW.

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Solution

Step: Finding solution set of x
Given: 2(3x5)>5(132x),xW
6x10>65=10x
By taking the like terms to one side of equation,we get,

6x+10x>65+10
16x>75
x>7516
x>41116
As per the condition given in the equation,xW
Therefore, the solution set x>41116 is
x={5,6,7,8,9,10,11,12,...}
Set can be represented in number line as,

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