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Solve the following inequation and represent the solution on the number line in following case: 3x − 7 ≤ 5, 2x − 7 < 7 - Mathematics

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प्रश्न

Solve the following inequation and represent the solution on the number line in following case:

3x − 7 ≤ 5, 2x − 7 < 7

योग
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उत्तर

3x − 7 ≤ 5

2x − 7 < 7

Inequality 1:

3x − 7 ≤ 5

⇒ 3x ≤ 12

⇒ x ≤ 4

Inequality 2:

2x − 7 < 7

⇒ 2x < 14

⇒ x < 7

Combine the results:

First inequality: x ≤ 4

Second inequality: x < 7

x ≤ 4​

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अध्याय 4: Linear inequations - Exercise 4A [पृष्ठ ५०]

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नूतन Mathematics [English] Class 10 ICSE
अध्याय 4 Linear inequations
Exercise 4A | Q 12. | पृष्ठ ५०
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