If an integer y is subtracted from an integer x, and the result is grater than x, then y must be.

If an integer y is subtracted from an integer x, and the result is grater than x, then y must be. ?

Created: 1 year ago | Updated: 2 months ago | Created By:

Ahsanur Rahman

equal to x

less than 0

less than x

greater than 0

0 14

Institution: SONALI BANK LTD Exam: Sonali Bank Ltd - Assistant Programmer - 26.08.2016 ||
Topic: Arithmetic Mathematics (পাটিগণিত), Subject: Mathematics (সাধারণ গণিত)

Best Answer Explained in Below-:

To analyze the statement “If an integer y is subtracted from an integer x, and the result is greater than x,” we can set up the equation: \( x - y > x \).

If we simplify this inequality, we start by subtracting \( x \) from both sides, which gives us:
\( -y > 0 \).

To isolate \( y \), we multiply both sides by -1 (remembering that this reverses the inequality):
\( y < 0 \).

This simplification tells us that for the result of \( x - y \) to be greater than \( x \), \( y \) must be a negative integer.

In other words, subtracting a negative number from \( x \) increases the value of \( x \). Therefore, the only option that satisfies this condition is option B: “less than 0.” The other options do not hold true in all cases, as \( y \) being equal to or greater than 0 would either keep the result the same as \( x \) or make it less than \( x\).

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