Question

Solve x-1/x+3>2 ☺️☺️

Answer 1

Answer:

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Step-by-step explanation:

Explanation:

(1)

x

>

−

3

→

x

+

3

>

0

We may multiply both sides by

x

+

3

and the

<

sign stays:

x

+

1

<

2

(

x

+

3

)

→

x

+

1

<

2

x

+

6

→

subtract

x

and

6

x

−

x

+

1

−

6

<

2

x

−

x

+

6

−

6

→

−

5

<

x

→

x

>

−

5

This, with the first assumption, leads to

x

>

−

3

(2)

x

<

−

3

→

x

+

3

<

0

Multiply by

x

+

3

but the

<

sign becomes

>

x

+

1

>

2

x

+

6

→

subtract

x

and

6

x

−

x

+

1

−

6

>

2

x

−

x

+

6

−

6

→

−

5

>

x

→

x

<

−

5

Combined:

x

<

−

5

or

x

>

−

3