Answer: The correct option is (D) [tex]x\geq 2.[/tex]
Step-by-step explanation: We are given to solve the following inequality for x :
[tex]-4\geq10-7x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
We will be using the following rule of inequalities :
[tex]-a\geq -b~~~\Rightarrow a\leq b.[/tex]
From inequality (i), we get
[tex]-4\geq10-7x\\\\\Rightarrow -4-10\geq -7x\\\\\Rightarrow -14\geq -7x\\\\\Rightarrow 14\leq 7x\\\\\Rightarrow \dfrac{14}{7}\leq x\\\\\Rightarrow 2\leq x\\\\\Rightarrow x\geq 2.[/tex]
Thus, the required solution is [tex]x\geq 2.[/tex]
Option (D) is CORRECT.
