Solve.
|6x − 5| < 7
write the equivalent compound inequality
< 6x − 5 <

see explanation

Step-by-step explanation:

Inequalities of the type | x | < a always have solutions of the form

- a < x < a

This can be extended to include expressions, that is

- 7 < 6x - 5 < 7 ( add 5 to all 3 intervals )

- 2 < 6x < 12 ( divide all 3 intervals by 6 )

- < x < 2

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:

days of the week

step-by-step explanation:

javier earned more money then kyle, so that won't always be a constant term, but the days of the week do not change so that term is always constant.

edit: i meant