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How many solutions does an inequality have?
2
Why does an inequality have 2 solutions?
An inequality, like an equation, can have a different number of solutions depending on the inequality and the domain.For example, x2< 0 has no solutions if the domain is the real numbers.x< 5 has only one solution ( = 4) if the domain consists of the squares of positive even numbers.x < 5 has infinitely many solutions if the domain is the rational numbers or real numbers.An inequality, like an equation, can have a different number of solutions depending on the inequality and the domain.For example, x2< 0 has no solutions if the domain is the real numbers.x< 5 has only one solution ( = 4) if the domain consists of the squares of positive even numbers.x < 5 has infinitely many solutions if the domain is the rational numbers or real numbers.An inequality, like an equation, can have a different number of solutions depending on the inequality and the domain.For example, x2< 0 has no solutions if the domain is the real numbers.x< 5 has only one solution ( = 4) if the domain consists of the squares of positive even numbers.x < 5 has infinitely many solutions if the domain is the rational numbers or real numbers.An inequality, like an equation, can have a different number of solutions depending on the inequality and the domain.For example, x2< 0 has no solutions if the domain is the real numbers.x< 5 has only one solution ( = 4) if the domain consists of the squares of positive even numbers.x < 5 has infinitely many solutions if the domain is the rational numbers or real numbers.
Why is a linear equation shaded?
Actually, a linear inequality, such as y > 2x - 1, -3x + 2y < 9, or y > 2 is shaded, not a linear equation.The shaded region on the graph implies that any number in the shaded region is a solution to the inequality. For example when graphing y > 2, all values greater than 2 are solutions to the inequality; therefore, the area above the broken line at y>2 is shaded. Note that when graphing ">" or "=" or "
What is the discriminant of the polynomial below?
That depends on the values of the polynomial but in general:- If the discriminant is greater than zero it has 2 solutions If the discriminant is equal to zero then it has 2 equal solutions If the discriminant is less than zero it has no solutions
What is the solution to the inequality below x2 is greater than 36?
The solution to the inequality x^2 > 36 can be found by first determining the values that make the inequality true. To do this, we need to find the values of x that satisfy the inequality. Since x^2 > 36, we know that x must be either greater than 6 or less than -6. Therefore, the solution to the inequality x^2 > 36 is x < -6 or x > 6.
How many solutions does an inequality have?
2
Is all values of the variable that satisfy the inequality?
To determine if all values of a variable satisfy an inequality, you need to analyze the inequality itself. If it is always true (for instance, a statement like (x + 2 > x + 1) is always true), then all values of the variable satisfy it. However, if specific conditions or limits on the variable exist (like (x > 5)), then only those values that meet the conditions are valid solutions. Thus, the answer depends on the specific inequality in question.
When does an inequality have a limited range of solutions?
An inequality has a limited range of solutions when it restricts the values of the variable to a specific interval or set of points. For example, inequalities like ( x < 5 ) or ( 2 < x \leq 7 ) define boundaries that limit the possible values of ( x ). Additionally, inequalities that involve absolute values, such as ( |x - 3| < 2 ), also result in a limited range, as they constrain the variable to fall within a specific distance from a point.
Why does 14.8 have 2 solutions?
It does not have any solutions! 14.8 is a number, not an equation, inequality or question and so has no solutions.
What is solutions to the inequality x2 25?
x^2<25
Does an open sentence have to be an equation?
No, it can be an inequality, such as x+5>2. An inequality usually has (infinitely) many solutions.
How many answers can you get in an inequality?
In an inequality, there can be infinitely many solutions, especially if the variable is unrestricted. For example, the inequality (x > 2) includes all real numbers greater than 2, leading to an infinite set of solutions. However, some inequalities may have a finite number of solutions, such as when the variable is restricted to integers. Ultimately, the number of solutions depends on the specific inequality and the domain of the variable involved.
When would you shade to the right or left of an inequality on the number line?
Which region you shade depends on whether you are required to shade the possible values or the values that need t be rejected. In 2 or more dimensions, you would normally shade the regions to be rejected - values that are not solutions. With a set of inequalities, this will result in an unshaded region (if any) any point of which will satisfy all the equations.If the inequality is written in the form x < N where N is some given value, then the possible solutions are to the left of N and the rejected values are to the right. Whether the value N, itself, is shaded or not depends on whether the inequality is strict or not.
Which ordered pair could be a solution to this inequality 4y -3x - 2?
To determine which ordered pair could be a solution to the inequality (4y - 3x - 2 > 0), you can substitute the values of the ordered pair into the inequality. For example, if we take the ordered pair (1, 2), substituting gives (4(2) - 3(1) - 2 = 8 - 3 - 2 = 3), which is greater than 0, thus (1, 2) is a solution. You can test other pairs similarly to find more solutions.
Which values from the set 12345 make the inequality true n 26?
To determine which values from the set {1, 2, 3, 4, 5} make the inequality n < 26 true, we need to find all numbers in the set that are less than 26. In this case, the values that satisfy the inequality are 1, 2, 3, 4, and 5. Therefore, the values from the set {1, 2, 3, 4, 5} that make the inequality n < 26 true are 1, 2, 3, 4, and 5.
What inequality has 3 and negative 5 as two of its solutions?
x+7 is greater than or equal to 2
Solve this inequality 5d plus 2 plus 2d 51?
7d + 2 < 51 7d < 49 d < 7
