Question

Find out the truth sets of the following open sentences replacement sets are given against them.
$2(x-3)<1;\{1,2,3,4,.......10\}.$

• A. $\{1,2,\mathrm{3...10}\}$
• B. $\{1,2,3\}$
• C. $\{3,4,\mathrm{5...10}\}$
• D. null

Answer 1

The correct option is B $\{1,2,3\}$

$2(x-3)<1$

$⟹2x-6<1$

$⟹2x<7$

$⟹x<3.5$

$\therefore$ $x\in \{1,2,3\}.$