use the inequality c - 3 >= d, b + 4 < a + 1 and a - 2 =< d - 7 to order a, b, c, and d from least to greatest
once is enough, please
To order the variables a, b, c, and d from least to greatest using the given inequalities, we need to analyze each inequality separately.
1. From the inequality c - 3 ≥ d, we can rearrange it to d ≤ c - 3. This inequality tells us that d must be less than or equal to c - 3.
2. From the inequality b + 4 < a + 1, we can rearrange it to b < a - 3. This inequality tells us that b must be less than a - 3.
3. From the inequality a - 2 ≤ d - 7, we can rearrange it to d ≥ a + 5. This inequality tells us that d must be greater than or equal to a + 5.
Combining these inequalities, we can conclude the following order:
b < a - 3 < c - 3 < d
Therefore, the order from least to greatest is b, a - 3, c - 3, d.
To order the variables a, b, c, and d from least to greatest using the given inequalities, we need to evaluate the relationships between them. Let's analyze each inequality one by one:
1. c - 3 >= d: Starting with this inequality, we can rearrange it to d <= c - 3. This implies that d is less than or equal to c - 3.
2. b + 4 < a + 1: Rearranging this inequality, we get b < a - 3. Therefore, b is less than a minus 3.
3. a - 2 =< d - 7: By rearranging, we obtain d >= a + 5. From this inequality, we conclude that d is greater than or equal to a plus 5.
Now that we have analyzed each inequality individually, let's combine the results:
Looking at the inequalities d <= c - 3 and d >= a + 5, we notice that they both involve d. By combining these inequalities, we can deduce that a + 5 <= d <= c - 3.
Similarly, the inequality b < a - 3 is independent of the previous inequalities, so we cannot directly order b, c, and d.
Therefore, the order from least to greatest is: b (no specific relationship to the others), a + 5 (in relation to d), d, and then c - 3 (in relation to d).
In summary, the order is: b, a + 5, d, c - 3.