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If 7 times a number is decreased by 6, the result is less than
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If 7 times a number is decreased by the result is less than What can be determined about the number?

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Key Concepts: Algebra, Inequalities Explanation: Let the number be represented by 'x'.\n 7 times the number is 7x.\n 7x decreased by 6 is 7x - 6.\n From the problem statement, 7x - 6 is less than 50.\n Thus, 7x - 6 < 50.\n Adding 6 to both sides, 7x < 56.\n Dividing both sides by 7, we get x < 8.\n Therefore, the number is less than 8. Step by Step Solution: Step 1. Let the number be represented by 'x'. Step 2. 7 times the number is 7x. Step 3. 7x decreased by 6 is 7x - 6. Step 4. From the problem statement, 7x - 6 is less than 50. Step 5. Thus, 7x - 6 < 50. Step 6. Adding 6 to both sides, we get 7x < 56. Step 7. Dividing both sides by 7, we get x < 8. Final Answer: The number is less than 8.
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Question Text
If 7 times a number is decreased by the result is less than What can be determined about the number?
TopicAll Topics
SubjectPre Calculus
ClassClass 11
Answer TypeText solution:1