Question

$x-10\ge 5$ is same as

• A. $x-2\ge 13$
• B. $x-2\ge -7$
• C. $x-2\ge -13$

Answer 1

The correct option is A $x-2\ge 13$

Given: $x-10\ge 5$
Concept: Adding or subtracting any number on both the sides of an inequality doesn't affect the inequality.
$\therefore$ Adding $10$ on both the sides:
$\Rightarrow x-10+10\ge 5+10$
$\Rightarrow x\ge 15$
Now, subtracting with $2$ on both sides:
$\Rightarrow x-2\ge 15-2\Rightarrow x-2\ge 13$
$\therefore x-10\ge 5$ is equivalent to $x-2\ge 13$.