Question

Question I got wrong--need someone to explain to me how to find the correct answer and what it is.

Answer 1

ok what is the first thing to do here ?

Answer 2

so you should square both sides what do you get ?

Answer 3

squaring both sides give you

3x -2 <= 4

Answer 4

since squaring a square root is like removing it
and squaring 2 is 2^2 and it is 4

Answer 5

yes its the same

Answer 6

≤ is like <=

Answer 7

so from this inequality what do you get ?

Answer 8

yes..
and this is what you chose
but, there is some restriction here.. the domain of x..
since you have a square root which under it there must be non negative numbers

we have another equation
3x - 2 >= 0
from here what do you get ?

Answer 9

good.. now you have to take the intersection between x<=2 and x>=2/3

Answer 10

so you get
2/3 <= x <= 2

Answer 11

:)