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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.
