Carcass wrote:
If x – y > 6 and 2x + y > 30, then which one represents all possible values of x ?
A. x > 6
B. 6 < x < 18
C. x > 12
D. 12 < x < 36
E. x > 36
Key property: If we have two inequalities with the inequality symbols facing the SAME direction, we can ADD the two inequalities.Given:
x – y > 6
2x + y > 30
Since the inequality symbols are facing the SAME direction, we can ADD the two inequalities to get: 3x > 36
Divide both sides by 3 to get: x > 12
Answer: C