Translate the following statements into inequalities. Let x represent the number in each case.
2 times a number, increased by 28, is less than or equal to 6 times that number.
Wayne owns 15 shares of Iowa stocks that has a current market value of $47.25 per share. If he sells the sotcks for $50.00 per share, what will his total profit be?
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To translate the given statement into an inequality, follow these steps:
1. Identify the keywords and phrases:
- "2 times a number": This can be written as 2x.
- "Increased by 28": This can be written as 28 + 2x.
- "Is less than or equal to": This indicates the inequality symbol.
2. Formulate the inequality:
Combining the above expressions, the inequality becomes:
2x + 28 ≤ 6x.
Thus, the translated inequality is 2x + 28 ≤ 6x.