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COMEDK2025MathematicsIndefinite IntegrationActual

The solution for the following system of inequalities 3 x-7 <5+x and 11-5 x 1 on a real number line is

Correct answer

2

Step-by-step solution

We are given the system of two linear inequalities: 1) 3x - 7 2) 11 - 5x 1 Solving the first inequality: 3x - x 2x x Solving the second inequality: 11 - 1 5x 10 5x 2 x or x 2 Combining both inequalities, we get 2 x The solution set is the interval [2, 6) . On a real number line, this corresponds to a closed circle at x = 2 (indicating x 2 ) and an open circle at x = 6 (indicating x Answer:

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