Question

Graph the inequality.

4x – 2y ≤ -12

Answer 1

1. put x=0 into the equation 4x-2y=12, solve y
-2y = 12 => y = -6

2. put y=0 into the equation 4x-2y=12, solve x
4x = 12 => x=3

3. Plot (0, -6) and (3,0) on a graph. Draw a line joining the 2 pointss. The line is NOT dotted line as the inequality sign here is greater than or equal to

4. Put (0, 0)as a test point
LHS = 4(0) - 2(0) = 0<12
So, (0, 0) is a point lies on the region. Shade the region where (0, 0) is located

Answer 2

if you have a graphing calculator...solve for y
-2y less than or equal to -4x-12
y is greater than or equal to x+6
hopefully this helps :)