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A doctor prescribed 2 types of vitamin t...

A doctor prescribed 2 types of vitamin tablets, `T_1` & `T_2` for Mr. Dhawan. The tablet `T_1` contains 400 units of vitamin & `T_2` contains 250 units of vitamin. If his requirement of vitamin is at least 4000 units then the inequation for his requirement will be _______.

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To solve the problem, we need to set up an inequality based on the information given about the vitamin tablets. ### Step-by-Step Solution: 1. **Define Variables**: Let \( X \) be the number of tablets of type \( T_1 \) that Mr. Dhawan takes, and \( Y \) be the number of tablets of type \( T_2 \) that he takes. 2. **Vitamin Content in Tablets**: - Each tablet \( T_1 \) contains 400 units of vitamin. - Each tablet \( T_2 \) contains 250 units of vitamin. 3. **Total Vitamin Intake**: The total amount of vitamin Mr. Dhawan gets from the tablets can be expressed as: \[ \text{Total Vitamin} = 400X + 250Y \] 4. **Vitamin Requirement**: According to the problem, Mr. Dhawan's requirement for vitamin intake is at least 4000 units. This can be expressed as an inequality: \[ 400X + 250Y \geq 4000 \] 5. **Final Inequality**: Therefore, the required inequality for Mr. Dhawan's vitamin intake is: \[ 400X + 250Y \geq 4000 \]
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