हिंदी

Solve the inequation given below and represent its solution set on a number line: (3x – 5)/6 > 1/2, x ∈ {0, 1, 2, 3, 4, 5, 6}

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प्रश्न

Solve the inequation given below and represent its solution set on a number line:

`(3x - 5)/6 > 1/2, x ∈ {0, 1, 2, 3, 4, 5, 6}`

योग
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उत्तर

Given,

⇒ `(3x - 5)/6 > 1/2`

⇒ `3x - 5 > 6/2`

⇒ 3x – 5 > 3

⇒ 3x > 3 + 5

⇒ 3x > 8

⇒ `x > 8/3`

⇒ x > 2.67

Since, x ∈ {0, 1, 2, 3, 4, 5, 6}

Hence, solution set = {3, 4, 5, 6}.

Solution on the number line is:

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 4: Linear Inequations - EXERCISE 4 [पृष्ठ ४१]

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आर.एस. अग्रवाल Mathematics [English] Class 10 ICSE
अध्याय 4 Linear Inequations
EXERCISE 4 | Q 4. | पृष्ठ ४१
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