Question 3 of 40beginner🔧 ApplyNumerical3 marks

Solve 5x−3<75x - 3 < 7, when (i) xx is an integer. (ii) xx is a real number.

(i)
Answer

The solution set is {..., -3, -2, -1, 0, 1}

(ii)
Answer

The solution set is x∈(−∞,2)x \in (-\infty, 2)

Explanation

This question tests solving linear inequalities in one variable. The student must first solve the inequality algebraically, then interpret the solution based on the domain specified (integers vs real numbers). The key steps involve isolating x by adding 3 to both sides and then dividing by 5.

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