What's your question? To solve an absolute value inequality, knowledge of absolute values and solving inequalities are necessary. Absolute value inequalities can have one or two variables.
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)
Do you mean 3 + 4|3x + 7| ≤ - 89? There is no solution to the inequality, since it is a false statement. A positive number cannot be equal or less than a negative number. On the left side, you are dealing only with positive numbers, since the absolute value is always positive, no matter what the values of x are.
If you mean the absolute value: the absolute value of a positive number is the number itself, in this case, 3.2.
No. The absolute value is non-negative but, to be pedantic, that does not mean positive. The absolute value of 0 is 0 which is NOT positive.
What's your question? To solve an absolute value inequality, knowledge of absolute values and solving inequalities are necessary. Absolute value inequalities can have one or two variables.
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)
Do you mean 3 + 4|3x + 7| ≤ - 89? There is no solution to the inequality, since it is a false statement. A positive number cannot be equal or less than a negative number. On the left side, you are dealing only with positive numbers, since the absolute value is always positive, no matter what the values of x are.
4
b<= 98.7 + l 2 l
if no absolute value is used the sum is zero.
There are many possible answers but the simplest is |x + 2| = 8
If you mean the absolute value: the absolute value of a positive number is the number itself, in this case, 3.2.
No. The absolute value is non-negative but, to be pedantic, that does not mean positive. The absolute value of 0 is 0 which is NOT positive.
well u do stuff to figure it out
The absolute value is used in the calculation of mean absolute deviation to eliminate negative differences. By taking the absolute value of each difference, it ensures that all values are positive, allowing for an accurate measure of the average deviation from the mean.
There is a technical definition for absolute value, but you could easily never need it. You should view the absolute value of a number as its distance from zero. The absolute value of +3 is 3, since it is three away from zero. The absolute value of -3 is 3, since it is three away from zero the other way.