Provided the inequality symbols face the same way, the left hand sides can be added together as can the right hand side.
Also, if either of the inequalities is strict then the resulting inequality must be strict.
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the addition property of inequalities and equalities are the same you just add like you always do
mutiplication property of inequality
There is no property of addition that uses parentheses.
The reflexive property of relations is not the same as the addition property of equality.
Addition, by itself, does not have a distributive property. Multiplication has a distributive property over addition, according to which: a*(b + c) = a*b + a*c