To explain: The statement "The techniques used for solving linear equations and linear inequalities are...

Calculation:
Consider a linear equation ${\displaystyle 8=-3x-7}$.
On solving, we get
${\displaystyle 8=-3x-7}$
${\displaystyle 15=-3x}$
${\displaystyle \frac{15}{-3}=x}$
${\displaystyle -5=x}$
Consider a linear inequality ${\displaystyle 8<-3x-7}$
On solving, we get
${\displaystyle 8<-3x-7}$
${\displaystyle 15<-3x}$
${\displaystyle \frac{15}{-3}>x}$
${\displaystyle -5>x}$
The techniques used for solving linear equations and linear inequalities are similar but the difference is while solving inequalities we must always remember to change the order of an inequality when multiplying or dividing both sides by a negative number.
Final statement:
Therefore, the techniques used for solving linear equations and linear inequalities are similar but the difference is while solving inequalities we must always remember to change the order of an inequality when multiplying or dividing both sides by a negative number.