Question 4 10 pts
Which number line shows all the values of x that make the inequality -3x + 1 < 7 true?
А
-5 -4 -3 -2 -1 0 1 2. 3 4
B
-5 -4 -3 -2. -1 0 1 2 3 4
ut if it
itu
c
-4
wwtwo
-1
0
1
2
3
4
D
NON
ut un
un
-4
-1
0
1
2
3
4
Ο Α
OB
OC
OD

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

ok thats very interesting