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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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Text solutionVerified
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? |
Topic | All Topics |
Subject | Pre Calculus |
Class | Class 11 |
Answer Type | Text solution:1 |