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Is an inequality the same thing as a compound inequality?
A compound inequality would be a combination of two or more inequalities, combined with AND or with OR. This can be implied, as in 2 < x < 5, which means: 2 < x AND x < 5.
How can you tell what kind of compound inequality an absolute value inequality will represent?
If the absolute value inequality is of the form where the absolute value of the difference between a variable (X) and some constant (a) is compared to another constant (b) eg |X - a| compared with b, then if the comparison is < or ≤, the compound inequality is a double inequality of the form c < X < d (or ≤), and if the comparison is > or ≥, the compound inequality is a disjoint inequality of the form X < c or X > d (or including the equals). In both cases, c = b - a, d = b + a (>c)
What is the solution to the inequality x squared equals to 25?
"x squared equals to 25" is not an inequality! You need to re-think the question!
What does and mean in a compound inequality?
It means that both inequalities must be satisfied.
When should the inequality sign be flipped?
when you divide the inequality by a negative number, for example -2x > 50 then x < -25
