Question

$2x+1>1$, where $x$ is an integer, is an algebraic inequality. Minimum value of the unknown in the algebraic inequality is

• A. $1$
• B. $0$
• C. $\frac{1}{2}$
• D. $-1$

Answer 1

The correct option is A $1$

Given algebraic inequality : $2x+1>1$

Step 1: Subtract $1$ from both the sides of the inequality
$2x+1-1>1-1$
$\Rightarrow 2x>0$

Step 2: Divide both sides of the inequality by $2$
$\Rightarrow \frac{2x}{2}>\frac{0}{2}$
$\Rightarrow x>0$

Given that $x$ is an integer.
So, minimum value of $x$ is $1$