To find:Suitable terms for the blank in the given statement“If each side of an inequality is multiplied by a(n) _____ number, then the sense of the inequality symbol is reversed”.
Answer to Problem 5AYU
The suitable terms for the blank in the given statement “If each side of an inequality is multiplied by a(n) _____ number, then the sense of the inequality symbol is reversed” is positive number.
Explanation of Solution
Given information:
The given statement is“If each side of an inequality is multiplied by a(n) _____ number, then the sense of the inequality symbol is reversed”.
Calculation:
The multiplication properties for inequalities for any real numbers
If
If
If
If
So, the multiplication properties for inequalities states that the sense, or direction of an inequality remains the same if each side is multiplied by a positive number, while the direction is reversed if each side is multiplied by a negative number.
Therefore, the suitable terms for the blank in the given statement “If each side of an inequality is multiplied by a(n) _____ number, then the sense of the inequality symbol is reversed”ispositive number.
Chapter A Solutions
Precalculus
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