
PETE C. answered 03/06/20
BS in Mathematics and Certified High School Math Teacher
Solving for "X" in the INEQUALITY 2 ≥ x - 12
2 + 12 => X - 12 + 12 Adding 12 to both sides to isolate the variable "X".
14 => X - 0
14 => X
OR
X =< 14
We can state this solution in two ways.
14 is equal to or greater than X.
OR
X is equal to or less than 14.
CHECKING:
Pick any value of X on the real number line equal to or less than 14, and see if the inequality fits.
Pick 14 for "X" and plug into the inequality.
2 ≥ x - 12
Is the above inequality true when "X" = 14?
Let's see.
2 => 14 - 12
2 => 2 Yes, 2 = 2 when "X" = 14.
Now, let's test a number less than 14.
Pick 9.
2 => 9 - 12
2 => -3 Yes, 2 is greater than -3.
Hope this was helpful BTS.