Answer: The required solution of the given inequality is [tex]d\leq -28.[/tex]
Step-by-step explanation: We are given to solve the following inequality :
[tex]\dfrac{d}{7}+4\leq 0~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
To solve the given inequality, we must bring all the constant terms on one side and the terms with unknown variable 'd' on the other.
From inequality (i), we have
[tex]\dfrac{d}{7}+4\leq 0\\\\\\\Rightarrow \dfrac{d}{7}\leq 0-4\\\\\\\Rightarrow \dfrac{d}{7}\leq -4\\\\\Rightarrow d\leq 7\times (-4)\\\\\Rightarrow d\leq -28.[/tex]
Thus, the required solution of the given inequality is [tex]d\leq -28.[/tex]
