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If 5x − 3 < 10 and 1 − 2x < −7, then solution set is: - Mathematics

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Question

If 5x − 3 < 10 and 1 − 2x < −7, then solution set is:

Options

  • No solution

  • x < 2 `3/5`

  • x > 4

  • `13/5 <x<2`

MCQ
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Solution

No solution

Explanation:

5x − 3 < 10

⇒ 5x < 13 

⇒ x < `13/5`

1 − 2x < −7

⇒ −2x < −8

⇒ x > 4

These require `x < 13/5 (2.6)` and x > 4 simultaneously, which is impossible.

No solution

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Chapter 4: Linear inequations - Exercise 4B [Page 52]

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Nootan Mathematics [English] Class 10 ICSE
Chapter 4 Linear inequations
Exercise 4B | Q 3. | Page 52
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