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Which inequality has all real number as its solution?
x2 ≥ 0 is one possible answer.
What does a solution with all real numbers look like?
A solution with all real numbers indicates that the equation or inequality has no restrictions on its values, meaning any real number can satisfy it. Graphically, this is often represented as a horizontal line on a number line or as a shaded region extending infinitely in both directions. For example, the equation (x = x) or the inequality (x > -\infty) includes every possible real number as a solution. Essentially, it signifies that the solution set is the entire continuum of real numbers.
Is the solution to a quadratic inequality in one variable always a compound inequality?
Yes - except in extreme cases. It can be the whole of the Real Numbers: eg x2 > -3 It can be a single point eg x2 ≤ 0 gives x = 0
Is a fraction a real solution or a non-real solution in algebra?
A fraction is just a number. It's as real as any whole number (or decimal).
Can a square of real number is a real number?
The square of a real number is always a real number.
Which inequality has all real number as its solution?
x2 ≥ 0 is one possible answer.
What does a solution with all real numbers look like?
A solution with all real numbers indicates that the equation or inequality has no restrictions on its values, meaning any real number can satisfy it. Graphically, this is often represented as a horizontal line on a number line or as a shaded region extending infinitely in both directions. For example, the equation (x = x) or the inequality (x > -\infty) includes every possible real number as a solution. Essentially, it signifies that the solution set is the entire continuum of real numbers.
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.
Is the solution to a quadratic inequality in one variable always a compound inequality?
Yes - except in extreme cases. It can be the whole of the Real Numbers: eg x2 > -3 It can be a single point eg x2 ≤ 0 gives x = 0
Which number line correctly represents the solution to the inequality 3x 15?
The solution to the inequality 3x < 15 is x < 5. On a number line, this would be represented by an open circle at 5 with an arrow pointing to the left, indicating all real numbers less than 5. The number line would start at negative infinity and end at 5, with 5 not included in the solution set.
Can a quadratic inequality have a solution set that is all real numbers?
Yes. Consider x2 ≥ 0
What is solution of x2 equals -1 in real number?
3
Is a fraction a real solution or a non-real solution in algebra?
A fraction is just a number. It's as real as any whole number (or decimal).
Can a square of real number is a real number?
The square of a real number is always a real number.
How to solve the real number?
A real number is not a question nor an equation or inequality that can be solved. There may be questions associated with real numbers that may be solved but that is not the same as solving the real number. The question is like asking how someone can solve you!
Why is it better to solve quadratic equations in the complex number system rather than in the real number system?
It is not always better.Although quadratic equations always have solutions in the complex system, complex solutions might not always make any sense. In such circumstances, sticking to the real number system makes more sense that trying to evaluate an impossible solution in the complex field.
Is the quotient of two rational numbers always a real number?
A real number is any number so yes it is always a real number * * * * * Except if the second number is 0, in which case the quotient is not defined.
