Answer:
The solution to the inequality is (–∞, –28]
Option B is correct.
Explanation:
Given the inequality
![(d)/(7)+4\leq 0](https://img.qammunity.org/2020/formulas/mathematics/high-school/l06wimth4ie6uiq4t20jxuzdsr91z41jsn.png)
We have to find the solution to the inequality.
![Inequality:(d)/(7)+4\leq 0](https://img.qammunity.org/2020/formulas/mathematics/high-school/oyz1nwj47pmo4bphnz67g37641cb4q7mlm.png)
Subtracting 4 both sides
![(d)/(7) \leq 0-4](https://img.qammunity.org/2020/formulas/mathematics/high-school/mt7yq4ayzs4szfk60i0zk8zvcgj87bsfep.png)
![(d)/(7) \leq -4](https://img.qammunity.org/2020/formulas/mathematics/high-school/8w6nqvbqnwydyxzb7537tptyytj6t3bh4u.png)
Multiply by 7 both sides
![d\leq 7* -4=-28](https://img.qammunity.org/2020/formulas/mathematics/high-school/yqq7lzkh98hd47ech8k00vsw9wxiczey84.png)
![d\leq -28](https://img.qammunity.org/2020/formulas/mathematics/high-school/ja8mhvn3fqbpkih9c5ksh7gnyuh67akemb.png)
Hence, the solution of d is the values less than equals to -28 i.e
(–∞, –28]
Option B is correct.