Question

The set of all real numbers satisfying the inequality $x-2<1$ is

• A. $(3,\infty )$
• B. $[3,\infty )$
• C. $[-3,\infty )$
• D. $(-\infty ,-3)$
• E. $(-\infty ,3)$

Answer 1

Answer: (E)

We have, $x-2<1$
$\Rightarrow x-2+2<1+2$
$\Rightarrow x<3$
$\therefore x\in (-\infty ,3)$