Solve for x in 5x−19≤1 or −4x+3< −6

x ≤ 4 OR x < 2.25

Step-by-step explanation:

a. Given 5x − 19 ≤ 1

5x ≤ 1 + 19

5x ≤ 20

Now, make x the subject of the formula, we have:

x ≤ 20/5

x ≤ 4

Therefore, given 5x − 19 ≤ 1, the solution is x ≤ 4

OR

b. Given − 4x + 3 < − 6

− 4x < − 6 − 3

− 4x < − 9

Now, make x the subject of the formula, we have:

x < −9/−4

x < 2.25

Therefore, given − 4x + 3 < − 6, the solution is x < 2.25.

Conclusion:

The solution to solve for x in 5x−19≤1 OR −4x+3<−6 is x ≤ 4 OR x < 2.25

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

ome people is not even worth it to even try it in the air.

step-by-step explanation: