Answer: The required solution of the given inequality is [tex]y\geq -4.[/tex]
Step-by-step explanation: We are given to solve the following inequality :
[tex]7y-3\leq10y+9~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
To solve the given inequality, we must find the value of the unknown variable p.
We will be using the following property of inequalities :
[tex]a\leq b~~~~~\Rightarrow -a\geq -b.[/tex]
From inequality (i), we have
[tex]7y-3\leq10y+9\\\\\Rightarrow 7y-10y\leq9+3\\\\\Rightarrow -3y\leq12\\\\\Rightarrow 3y\geq -12\\\\\Rightarrow y\geq\dfrac{-12}{3}\\\\\Rightarrow y\geq -4.[/tex]
Thus, the required solution of the given inequality is [tex]y\geq -4.[/tex]
