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Solve the Following in Equation and Write the Solution Set: 13x - 5 < 15x + 4 < 7x + 12, X ∈ R Represent the Solution on a Real Number Line. - Mathematics

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प्रश्न

Solve the following in equation and write the solution set:

13x - 5 < 15x + 4 < 7x + 12, x ∈ R

Represent the solution on a real number line.

योग

उत्तर

13x - 5 < 15x + 4 < 7x + 12, `"x"  in "R"`

we have

13x - 5 < 15x + 4         And
⇒ 13x < 15x + 9
⇒ 0 < 2x + 9
⇒ -9 < 2X
⇒ `-9/2` < x
`therefore -9/2` < x < 1`
i.e. -4.5 < x < 1

15x + 4 > 7x + 12
⇒ 15x < 7x + 8
⇒ 8x < 8
⇒ x < 1
⇒ x < 1

Solution set = { x : x `in` R and -4.5 < x < 1}

The required line is

   

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Representation of Solution on the Number Line
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 4: Linear Inequations (In one variable) - Exercise 4 (B) [पृष्ठ ५०]

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सेलिना Mathematics [English] Class 10 ICSE
अध्याय 4 Linear Inequations (In one variable)
Exercise 4 (B) | Q 35 | पृष्ठ ५०
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