You might mean an inequality (with 'less than', 'greater than', etc). You might mean an expression.
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An expression, or, more pedantically, inequalities.
A mathematical expression has numbers and operation signs with no equal sign. Equations, on the other hand, do contain equal signs.
If two numbers have opposite signs, then their product and quotient are both negative.
There are infinitely many pairs and the answer depends on the operations. For example, 1+42 equals 43
algebraic expression consists of numbers and operations