Explain the differences between properties of equality and properties of inequality when solving equations and inequalities.

Using the properties of equality on any equation will not change the solution set. When multiplying or dividing an inequality by a negative number you must reverse the inequality symbol or you will not get the correct solution set.

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Adetunmbiadekunle Adetunmbiadekunle · Answer 2 · 2021-09-18T08:05:22+02:00

The major difference between inequality and equality is that equality represents a particular value(s) while inequality represents a range of values that are in a specific direction.

This must be noted when solving questions on equality and inequality.

For example:

x = a means that the value of x is a. It represents a particular value which is a

x < a represents all the values that are less than a.

x ≤ a represents values from a and below.

x > a represents all the values that are greater than a

x ≥ a means that the values of x are greater than or equal to a.

From the examples given above, it is obvious that a change in the direction of the inequality sign changes the values of the data represented by the inequality.

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