Use quantifiers to convert the following open sentences defined o… - Vidyadip

Question

Use quantifiers to convert the following open sentences defined on N, into a true statement.$n^2 \geq 1$

✓

Answer

$n^2 \geq 1\forall n \in N, n^2 \geq 1$
Since, square of all natural numbers is either 1 or greater than 1.
$\therefore$ The statement is true.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "Solve the Following Question.(4 Marks)" from Question Bank [2022]→Question Bank [2022] — all question types→Maths STD 12 Science question papers→Maharashtra Board STD 12 Science question papers→Maharashtra Board question paper generator→

Similar questions

Solve the following differential equation
$y x \frac{ d y}{ d x}= x ^2+2 y ^2$

Solve the differential equation : $x+y \frac{d y}{d x}=\sec \left(x^2+y^2\right)$. Also find the particular solution if $x=y=0$

Find the inverse of the following matrices by the adjoint method : $\left[\begin{array}{lll}1 & 2 & 3 \\ 0 & 2 & 4 \\ 0 & 0 & 5\end{array}\right]$

A stone is dropped into a pond. Waves in the form of circles are generated and the radius of the outermost ripple increases at the rate of $2 inch / sec$. How fast will the area of the wave increase.
(a) when the radius is 5 inch?
(b) after 5 seconds ?

$\int \frac{3 x+4}{\sqrt{2 x^2+2 x+1}} d x$

In $\triangle A B C$, prove that $a^3 \sin (B-C)+b^3 \sin (C-A)+c^3 \sin (A-B)=0$

Find the approximate value of $\log _{10}(1016)$ given that $\log _{10} e=0.4343$.

$\int_0^a \frac{1}{x+\sqrt{a^2-x^2}} \cdot d x$

Evaluate: $\int_{-1}^1 \frac{1+x^2}{9-x^2} d x$

Find the area of the sector bounded by the circle $x^2+ y^2 = 16$, and the line $y = x$ in the first quadrant