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Question

If the replacement set is the set of integers lying between -4 and 8, then find the solution set of 14-5x3x-40. Also, represent the solution set on number line.


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Solution

Step 1: Solve the given inequality

14-5x3x-4014+403x+5x548xx548x6.75

Step 2: Identify the solution set between the given replacement set

The given replacement set lies between -4 and 8.

Thus, the required solution set will be x{-3,-2,-1,0,1,2,3,4,5,6}

Step 3: Represent the solution set on number line

Hence, the solution set is {-3,-2,-1,0,1,2,3,4,5,6}.


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