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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)
Which inequality has x0.8 as one of its solutions?
One possible inequality that has x = 0.8 as a solution is x ≤ 0.8. This means that any value of x that is less than or equal to 0.8 will satisfy the inequality.
How do you write and solve an absolute value inequaolity?
To write and solve an absolute value inequality, start by expressing the inequality in the form |x| < a or |x| > a, where a is a positive number. For |x| < a, split it into two inequalities: -a < x < a. For |x| > a, split it into two separate inequalities: x < -a or x > a. Finally, solve each inequality to find the solution set and represent it using interval notation or a number line.
What value of the variable x makes the inequality of x is greater than 4 true?
Any value of x that is more than 4, for example 4.000000000000001
What are the largest values to an inequality?
The largest values in an inequality refer to the upper limits that satisfy the conditions of that inequality. For example, in the inequality (x < 5), the largest value that (x) can take is just below 5, such as 4.999. In cases of non-strict inequalities, like (x \leq 5), the largest value is exactly 5. Understanding these values is crucial for solving and graphing inequalities.
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)
Which inequality has x0.8 as one of its solutions?
One possible inequality that has x = 0.8 as a solution is x ≤ 0.8. This means that any value of x that is less than or equal to 0.8 will satisfy the inequality.
What does at least mean in an inequality?
In an inequality, "at least" signifies that a certain value must be greater than or equal to a specified number. For example, if an inequality states that ( x \geq 5 ), it means that ( x ) can be any value that is 5 or greater. This term establishes a lower boundary for the values that satisfy the inequality.
14 is less than twice the value of x?
The mathematical inequality that represents the relationship described is 14 < 2x. This inequality states that the value of 14 is less than twice the value of x. To solve for x, we can divide both sides of the inequality by 2 to isolate x, giving us x > 7. Therefore, any value of x greater than 7 will satisfy the given condition.
How do you write and solve an absolute value inequaolity?
To write and solve an absolute value inequality, start by expressing the inequality in the form |x| < a or |x| > a, where a is a positive number. For |x| < a, split it into two inequalities: -a < x < a. For |x| > a, split it into two separate inequalities: x < -a or x > a. Finally, solve each inequality to find the solution set and represent it using interval notation or a number line.
What is x plus 423?
It is x + 423. There is no equation nor an inequality that can be solved for the value of x. It is simply an expression.
Which value of x is a solution of the inequality 25x -100 250?
13
What value of the variable x makes the inequality of x is greater than 4 true?
Any value of x that is more than 4, for example 4.000000000000001
Write x2 or x-2 as an inequality containing absolute value?
4
What are the largest values to an inequality?
The largest values in an inequality refer to the upper limits that satisfy the conditions of that inequality. For example, in the inequality (x < 5), the largest value that (x) can take is just below 5, such as 4.999. In cases of non-strict inequalities, like (x \leq 5), the largest value is exactly 5. Understanding these values is crucial for solving and graphing inequalities.
What is the solution to the inequality x squared 100?
The inequality ( x^2 < 100 ) can be solved by first taking the square root of both sides, giving ( -10 < x < 10 ). Thus, the solution is the interval ( (-10, 10) ). This means that any value of ( x ) within this range will satisfy the inequality.
If -3x 57 what is the value of x?
To solve the inequality -3x < 57, first divide both sides by -3, remembering that dividing by a negative number reverses the inequality sign. This gives us x > -19. Therefore, the value of x must be greater than -19.
