Question

given that X E R solve the following inequality and graph the solution on the number line -5 <3+4x<15​

Answer 1

given:-

x belongs to real numbers.

-5 < 3+4x < 15

to find :-

range of the variable x

solution:-

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let's solve the inequality.

===> $\tt -5 < 3 +4x <15$

subtract 3 from each and every expression.

===> $\tt -5-3 <3-3+4x <15-3$

===> $\tt -8<4x <12$

divide 4 from the above equation,

===> $\tt \dfrac {-8}{4}< \dfrac {4x}{4} < \dfrac{12}{4}$

===> $\tt -2 < x < 3$

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-2 3

imagine a wavy curve along the following number line.

The region of common intersection would be:-

$\boxed {\tt x\:belongs\:to \: (2,3)}$

Answer 2

Answer:

$\huge{\red{\rm hello mate }}$ x belong to 2,3

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