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A more formal name is the strict inequality sign.
If a word problem states "no more than", the corresponding inequality sign is less than or equal to (≤). For example, if x is no more than than 4, then: x ≤ 4.
inequality sign
Yes, when the inequality has a less that or equal to sign, or a greater than sign or equal to sign, then the equal sign can be replaced and get a solution that is common to both the equation and the inequality. There can also be other solutions to the inequality, where as the solution for the equation will be a valid one.
An inequality sign which means > more than and < less than