SchachtN

2021-10-09

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

Arnold Odonnell

Calculation:
Consider a linear equation $8=-3x-7$.
On solving, we get
$8=-3x-7$
$15=-3x$
$\frac{15}{-3}=x$
$-5=x$
Consider a linear inequality $8<-3x-7$
On solving, we get
$8<-3x-7$
$15<-3x$
$\frac{15}{-3}>x$
$-5>x$
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.

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