Which expression among the following is the solution of 2(4x+3)≤3(3x+4)? x≤6

x≥6

x≤−6

x≥−6

Solving we get

Option D is correct information.

Step-by-step explanation:

We need to solve

Multiply the terms:

Subtracting 6 from both sides

Subtracting 9x from both sides

Divide both sides by -1 and reversing the inequality

So, solving we get

Option D is correct information.

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: