Choose the definition for the function.
Please help ASAP thank youuu

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Step-by-step explanation:

y = {x + 1 x>or equal 2

{x+2 x<2

x=y/4+8/3

y= 4x-32/3

Step-by-step explanation:

 2x-1/3=1/2y+5

Add  1/3 =0.333333333 to both sides.

​2x-1/3=1/2+5+1/3

Add 5 and 1/3≈0.333333333 to get 16/3 ≈5.333333333.

2x=1/2y+16/3

The equation is in standard form.

2x=y/2+16/3

Divide both sides by 2.

2x/2=y/2+16/3/2

Dividing by 2 undoes the multiplication by 2.

x=y/2+16/3/2

Divide y/2+16/3 by 2

x= y/4+8/3

2x-1/3=1/2y+5

Swap sides so that all variable terms are on the left hand side.

1/2+5=2x-1/3

Subtract 5 from both sides.

1/2y=2x-1/3-5

Subtract 5 from -1/3 ≈−0.333333333 to get -16/3 −5.333333333.

1/2=2x-16/3

Multiply both sides by 2.

1/2y/1/2=2x-16/3/1/2

Dividing by 1/2 =0.5 undoes the multiplication by 1/2 =0.5

y=2x-16/3/1/2

Divide 2x-16/3 by 1/2 = 0.5 by multiplying 2x-16/3 by the reciprocal of 1/2=0.5

y = 4x-32/3

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