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Solve the following inequation and represent the solution on the number line in following case: x + 2 ≤ 5, 3x − 4 > −2 + x - Mathematics

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प्रश्न

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

x + 2 ≤ 5, 3x − 4 > −2 + x

योग
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उत्तर

x + 2 ≤ 5

3x − 4 > −2 + x

Inequality 1:

x + 2 ≤ 5

⇒ x ≤ 5 − 2 = 3

Inequality 2:

3x − 4 > −2 + x

⇒ 3x − x > −2 + 4

⇒ 2x > 2

⇒ 2x > 2

Combine Both:

x > 1 and x ≤ 3

1 < x ≤ 3

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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 15. | पृष्ठ ५०
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