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Class 12 · Mathematics · Medium

If A = {x ∈ R : 2x − 1 ≥ 5}, what is the interval form of A?

Class 10 · Mathematics · Easy

If A ⊆ B and A ≠ B, what is A called with respect to B?

Class 10 · Mathematics · Easy

Which set is a proper subset of A = {2, 4, 6}?

Class 10 · Mathematics · Easy

Which statement justifies {1} ⊆ {1, 2}?

Class 10 · Mathematics · Easy

If A = {1, 2, 3}, which of the following sets is a proper subset of A?

Class 10 · Mathematics · Easy

Which statement correctly explains the meaning of A ⊆ B?

Class 10 · Mathematics · Easy

Which statement shows the correct relation among number sets?

Class 12 · Mathematics · Expert

On (\mathbb{R}), (a*b=a+b-ab). What is the solution of (2*x=3)?

Class 12 · Mathematics · Expert

On (\mathbb{R}^{+}), (a*b=\frac{a+b}{2}). Which statement is correct?

Class 12 · Mathematics · Expert

On (S={1,2,3,4,6,12}), (a*b=\operatorname{lcm}(a,b)). What is the identity element of this operation?

Class 12 · Mathematics · Expert

On (S={1,2,3,4,6,12}), (a*b=\gcd(a,b)). What is the identity element of this operation?

Class 12 · Mathematics · Expert

On (\mathbb{Z}), (a*b=a+b+ab). Which of the following elements is not its own inverse?

Class 12 · Mathematics · Expert

On (\mathbb{Z}), (a*b=a+b+ab). Which element is its own inverse?

Class 12 · Mathematics · Expert

On (\mathbb{R}), (a*b=a+b-ab). If (a*b=0), what is the correct value of (b)?

Class 12 · Mathematics · Expert

On (\mathbb{R}), (a*b=a+b+ab). If (a*b=0), what is the correct value of (b) in terms of (a)?

Class 12 · Mathematics · Expert

On (\mathbb{R}), (a*b=a+b+ab). Which form is most useful for explaining closure on (\mathbb{R}\setminus{-1})?

Class 12 · Mathematics · Expert

On (\mathbb{R}), (a*b=a^2+b). In which property does this operation fail?

Class 12 · Mathematics · Expert

On (\mathbb{R}\setminus{-2}), (a*b=a+b+\frac{ab}{2}). What is the inverse of (4)?

Class 12 · Mathematics · Expert

On \(\mathbb{R}\setminus{-2}\), \(a*b=a+b+\frac{ab}{2}\). What is the identity element of this operation?

Class 12 · Mathematics · Expert

On (\mathbb{R}), (a*b=a+b+ab). What is the solution of (x*2=8)?