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What is a linear inequality?

Back

A linear inequality is a mathematical statement that compares a linear expression to a value using inequality symbols (>, <, ≥, ≤) instead of an equal sign.

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How do you represent a situation where a total cost must not exceed a certain amount?

Back

Use a 'less than or equal to' inequality (≤). For example, if the total cost is represented by an expression, it should be set ≤ the budget.

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It represents that the total cost of buying 'd' daisies at $2 each and 't' tulips at $3 each must not exceed $12.

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What does the inequality c ≥ 25 signify in a real-world context?

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It indicates that there are at least 25 cats on the porch, meaning the number of cats is 25 or more.

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How do you express a situation where the number of items is less than a certain value?

Back

Use a 'less than' inequality (<). For example, if there are fewer than 150 children, it is expressed as c < 150.

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It indicates that the total revenue from selling 's' senior citizen tickets at $3 each and 'c' child tickets at $2 each must be at least $42.

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What does the inequality c > 250 mean in a real-world scenario?

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It means that the number of boxes of cookies sold is more than 250.

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What is the difference between 'greater than' (>) and 'greater than or equal to' (≥)?

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'Greater than' (>) means the value must exceed a certain number, while 'greater than or equal to' (≥) includes that number as a possible value.

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How do you write an inequality for a budget constraint?

Back

Identify the total cost expression and set it less than or equal to the budget amount.

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What is the significance of the inequality symbol in a linear inequality?

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The inequality symbol indicates the relationship between two expressions, showing whether one is greater than, less than, or equal to the other.