$-95 \div 19 = x$

Concept & Formula This problem covers the division of a negative integer by a positive integer. When dividing numbers with opposite signs, the resulting quotient is always negative. Step-by-Step Solution * The given expression is: $$-95 \div 19$$ * First, ignore the sign and perform the standard division: $$95 \div 19 = 5$$ * Apply the sign rule for division. A negative divided by a positive yields a negative result: $$- \div + = -$$ * Attach the negative sign to the quotient: $$-5$$ Exam Strategy & Shortcut Recognize immediately that a negative divided by a positive is negative, which eliminates options (c) and (d). Since $19 \times 5 = 95$ is a standard multiplication table fact, the answer instantly resolves to $-5$. Common Pitfall Overlooking the negative sign in the dividend is the most common error, leading students to incorrectly choose the positive counterpart (option d). Final Answer **Therefore, the correct answer is -5.**