What is the solution to the equation = ? x = 1 x = 2 x = 4 x = 6

4

<

x

<

6

Step-by-step explanation:

Move  

1

x

−

6

to the left side of the equation by subtracting it from both sides.

1

x

−

4

−

1

x

−

6

>

0

To write  

1

x

−

4

as a fraction with a common denominator, multiply by  

x

−

6

x

−

6

.

1

x

−

4

⋅

x

−

6

x

−

6

−

1

x

−

6

>

0

To write  

−

1

x

−

6

as a fraction with a common denominator, multiply by  

x

−

4

x

−

4

.

1

x

−

4

⋅

x

−

6

x

−

6

−

1

x

−

6

⋅

x

−

4

x

−

4

>

0

Write each expression with a common denominator of  

(

x

−

4

)

(

x

−

6

)

, by multiplying each by an appropriate factor of  

1

.

Tap for more steps...

1

(

x

−

6

)

(

x

−

4

)

(

x

−

6

)

−

1

(

x

−

4

)

(

x

−

4

)

(

x

−

6

)

>

0

Combine the numerators over the common denominator.

1

(

x

−

6

)

−

(

x

−

4

)

(

x

−

4

)

(

x

−

6

)

>

0

Simplify the numerator.

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−

2

(

x

−

4

)

(

x

−

6

)

>

0

Move the negative in front of the fraction.

−

2

(

x

−

4

)

(

x

−

6

)

>

0

Find all the values where the expression switches from negative to positive by setting each factor equal to  

0

and solving.

x

−

4

=

0

x

−

6

=

0

Add  

4

to both sides of the equation.

x

=

4

Add  

6

to both sides of the equation.

x

=

6

Solve for each factor to find the values where the absolute value expression goes from negative to positive.

x

=

4

x

=

6

Consolidate the solutions.

x

=

4

,

6

Find the domain of  

−

2

(

x

−

4

)

(

x

−

6

)

.

Tap for more steps...

Interval Notation:

(

−

∞

,

4

)

∪

(

4

,

6

)

∪

(

6

,

∞

)

Use each root to create test intervals.

x

<

4

4

<

x

<

6

x

>

6

The answer is 4 I hope this helps

i can answer this question sweetie!

step-by-step explanation:

answer

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)