express the inequalities x_<3 and 0<x_<8 in interval notation

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Interval notation involves parentheses and brackets. Parentheses go with the strict inequalities (like < or >) Brackets go with the non-strict inequalities (like ≤ or ≥) x ≤ 3  is the same as ∞ < x ≤ 3  is the same as (∞,3] 0 < x ≤ 8 is the same as (0,8] Note that infinty is not a number. It can never be "included". Always use parentheses around the infinity side of the inequality statement.