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Multiplication and Division Inequalities

Question 9 • SC-Mathematics 6

If the statement 4 > 3 is true, which of the following are true about the relationship between –4 and –3? Check all that apply.

Answer
A
–4 < –3
B
The inequality changes from greater than to less than because -4 is less than -3.
C
–4 > –3
D
The greater than inequality holds true even when the opposites of 4 and 3 are used.
E
–4 = –3

Explanation

The opposites of 4 and 3 are −4 and −3. Taking the opposite of both numbers reverses their order, so since 4 > 3, we have −4 < −3. Thus A is true, and B correctly describes the change in the inequality. The greater-than relationship does not remain true, so C and D are false; the numbers are not equal, so E is false.

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