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.
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)
"x squared equals to 25" is not an inequality! You need to re-think the question!
The name for two inequalities written as one inequality is a "compound inequality." This format expresses relationships involving two conditions simultaneously, often using "and" or "or" to connect them. For example, the compound inequality (3 < x < 7) combines two inequalities, (3 < x) and (x < 7).
It means that both inequalities must be satisfied.
Any compound inequality, in one variable, can be graphed on the number line.
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.
≤
The difference between them is that when solving an "and" inequality you are comparing two inequalities and when you are solving an "or" inequality you dont compare, you only use one inequality example of "and" . 2<x+3<7 example of "or" . 4<d or m<1
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)
x^2<25
"x squared equals to 25" is not an inequality! You need to re-think the question!
According to the site Math Planet, 'A compound inequality contains at least two inequalities that are separated by either "and" or "or".' In the case of "and", a compound inequality such as x > -1 and x < 2 can also be written as: -1 < x < 2 (I also took this example from Math Planet.) There is no such shortcut for the "or" case.
The name for two inequalities written as one inequality is a "compound inequality." This format expresses relationships involving two conditions simultaneously, often using "and" or "or" to connect them. For example, the compound inequality (3 < x < 7) combines two inequalities, (3 < x) and (x < 7).
compound inequality :)
toast! "DING"
This compound inequality cannot be solved.