Question
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Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Rules for Operations on Inequalities:
- Adding the same number to each side of an inequality does not change the direction of the inequality symbol.
- Subtracting the same number from each side of an inequality does not change the direction of the inequality symbol.
- Multiplying each side of an inequality by a positive number does not change the direction of the inequality symbol.
- Multiplying each side of an inequality by a negative number reverses the direction of the inequality symbol.
- Dividing each side of an inequality by a positive number does not change the direction of the inequality symbol.
- Dividing each side of an inequality by a negative number reverses the direction of the inequality symbol.
Calculation:
Given:
Multiplying each side of an inequality by a negative number reverses the direction of the inequality symbol.
∴ x < 0 OR x > 12
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