Multiple choice

What is the area enclosed by line 2|x| + 3|y| < = 6?

  1. 12

  2. 3

  3. 6

  4. 9

  5. 24

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

From this equation, there are four possible equations of line: 2x+3y<=6 -2x+3y<=6 -2x-3y<=6 2x-3y<=6 All these lines will enclose an area of a triangle = (1/2*2*3) = 3 units square  Since there are four such triangles and figure is symmetric, total area enclosed will be = 3*4 = 12 square units (Correct Answer)