3 left parenthesis x space minus space 8 right parenthesis greater than negative 4 space plus space x

The solution of the given inequality

          x > 10

Step-by-step explanation:

Step(i):-

Given inequality  

                     3 ( x-8) > -4 + x

Multiply

                   3 x - 24 > -4 +x

subtract 'x' on both sides , we get

                 3 x - 24 - x > - 4 + x - x

        ⇒     2 x - 24 > - 4

Step(ii):-

Adding '2'4' on both sides , we get

        ⇒     2x - 24 + 24 > -4 +24

      ⇒     2 x > 20

Dividing '2' on both sides , we get

                x > 10

Final answer:-

The solution of the given inequality

          x > 10

ur mom gae no homo

the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

                  = 2×(-2)+(-8)×(6)+(-8)×(-5)

                  = -4-48+40

                  = -12

hence, v.w= -12