Find the value of a for which the solution of the inequality is all real numbers.
3x+8+2ax≥3ax−4a
how do i solve for a and what does a stand for m.

Step-by-step explanation:

In the inequality

a is an arbitrary real number.

Separate the terms with x into left side and the terms without x in the right side:

First, look at the leading coefficient at x. If this coefficient is equal to 0 (when ), then the inequality is

This is true inequality for all x, so at the inequality (1) has the solution

Now, if the leading coefficient

then we can divide the inequality (2) by this positive number and get

If the leading coefficient

then we can divide the inequality (2) by this negative number and get

So, the answer is

6mm^3 or .6cm^3

      216

      /   \

  36     6

  /   \     /

6     6   6

factor trees are nice.