7
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Multiplication and Division Inequalities

Question 7 • SC-Mathematics 6

Consider the inequality -20.2 > 0y. Which of the following must be true? Check all that apply.

Answer
A
You cannot divide by zero.
B
The inequality is equivalent to -20.2 > 0, which is false.
C
The solution is y > 0.
D
The solution is 0 > y.
E
The solution is y = 0.

Explanation

Since 0y = 0 for every value of y, the inequality becomes −20.2 > 0. That statement is false, so there are no values of y that satisfy the inequality; this is choice B, “The inequality is equivalent to −20.2 > 0, which is false.” You also cannot divide both sides by the coefficient 0 to solve for y, which is choice A.

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