Question

In the algebraic inequality $2x+1\ge 3$, the value of $x$ is

• A. $x\ge 1$
• B. $x\ge -1$
• C. $x\le 1$
• D. $x\le -1$

Answer 1

The correct option is A $x\ge 1$

Given algebraic inequality : $2x+1\ge 3$

Step 1: Subtract $1$ from both sides
$\Rightarrow 2x+1-1\ge 3-1$
$\Rightarrow 2x\ge 2$

Step 2: Divide both sides
of algebraic inequality by $2$

We know: On dividing or multiplying both sides of an algebraic inequality by a positive number, the inequality sign remains the same.

$\Rightarrow \frac{2x}{2}\ge \frac{2}{2}\Rightarrow x\ge 1$
It can be represented on the numberline as:
A closed circle at 1 and the red line goes to the right, indicating that $x$ is greater than or equal to 1.