Question

How do you solve $ - 3z = 3? $

Answer 1

Hint: As we know that above question is of inequality. We can solve compound inequalities by adding, subtracting, multiplying or dividing both sides whichever is suitable until we are left with the variable only, but these all tend to change the direction of inequality. Whenever we multiply or divide any inequality by a negative number, we must flip the inequality sign.

Complete step-by-step answer:
As per the given question we have $ - 3z = 3 $ .
We will divide both the left hand side and right hand side of the equation by the same term. We will divide both the sides of the equation by $ - 3 $ .
So we have:
 $ \dfrac{{ - 3z}}{{ - 3}} = \dfrac{3}{{ - 3}} $ .
It gives us $ z = - 1 $ .
Hence the required answer of $ z $ is $ - 1 $ .
So, the correct answer is “-1”.

Note: We should note that multiplying or dividing an inequality is the same as multiplying or dividing an equation. While solving this type of question we should be careful in adding and subtracting the values as in inequality there are already positive and negative signs available and one should be careful because one wrong sign can give the wrong answers as the inequality will change. We should perform each step carefully in order to avoid confusion and calculation mistakes.