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It depends upon whether the inequality is strictly less than (<), or if it is less than or could be equal (≤).

For example:

if x < 6, x can have any value less than 6, but cannot have the value 6; but

if x ≤ 6, x can have any value less than 6, but can also have the value 6.

Or put another way, x = 6 is NOT a solution of x < 6, but IS a solution to x ≤ 6.

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Q: How do you know when to use the less than symbol and when to use the less than or equal to symbol when writing an inequality for a situation?
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