Does the expression d-12 have a greater value when d=42 or when d=46 ? Explain, without computing

42 - 12 = ?

46 - 12 = ?

46 > 42

46 is to the right of 42 on your number line.

if you move left n units from each, 46 - n is still to the right of 42 - n

To determine whether the expression d-12 has a greater value when d=42 or d=46 without actually computing the expressions, we can compare the two values and analyze their differences.

When d=42:
d-12 = 42-12 = 30

When d=46:
d-12 = 46-12 = 34

Comparing the two expressions, we see that 34 is greater than 30. So, the expression d-12 has a greater value when d=46.

To determine which expression, d-12, has a greater value between d=42 and d=46 without computing, we can analyze the given expressions.

When d=42:
d-12 = 42-12 = 30

When d=46:
d-12 = 46-12 = 34

By comparing the two expressions, we can see that d-12 has a greater value when d=46. This is because 34 is greater than 30.

Therefore, based on the analysis of the expressions, d-12 has a greater value when d=46.