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

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.