1. ## equations

FIRST PROBLEM
The equation:

|x/2| + |y/2| = 5

encloses a certain region on a coordinate plane. What is the area of this region?

SECOND PROBLEM
How many different numbers are there such that ax + b = c (a,b,and c are constants) ?
1. c>b
2. a>1

A. Statement 1. is sufficient
B. Statement 2. is sufficient
C. Statements 1. and 2. together are sufficient
D. Each statement alone is sufficient
E. Both statements together are not sufficient

thank you

2. multiply through by 2 to clear fractions.

There are four quadrants in which x and y are either positive or negative.
In each quadrant, if one or both of them is negative, put a minus sign in front of it or them, which will make them positive like the abs value. This will get x and y out of their jail cell. Then you will have four linear equations in each quadrant which will outline a diamond shaped box, from which you can find the area of it.

3. Originally Posted by simone

FIRST PROBLEM
The equation:

|x/2| + |y/2| = 5

encloses a certain region on a coordinate plane. What is the area of this region?

SECOND PROBLEM
How many different numbers are there such that ax + b = c (a,b,and c are constants) ?
1. c>b
2. a>1

A. Statement 1. is sufficient
B. Statement 2. is sufficient
C. Statements 1. and 2. together are sufficient
D. Each statement alone is sufficient
E. Both statements together are not sufficient

thank you
Please don't double post. See rule #1 here.

-Dan