To explain: The statement "The techniques used for solving linear equations

SchachtN

SchachtN

Answered question

2021-10-09

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

Answer & Explanation

Arnold Odonnell

Arnold Odonnell

Skilled2021-10-10Added 109 answers

Calculation:
Consider a linear equation 8=3x7.
On solving, we get
8=3x7
15=3x
153=x
5=x
Consider a linear inequality 8<3x7
On solving, we get
8<3x7
15<3x
153>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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