Question

find the solution set of the inequation 2(x-8) >5+x, where the replacement set is set of positive integers​

Answer 1

$\huge\tt{\red{GIVEN}}$

★$2(x-8) >5 + x$

★The replacement set is a set of positive integers.

$\huge\tt{\red{TO \:FIND}}$

★The solution set.

$\huge\tt{\red{ANSWER}}$

We have,

=>$2(x-8) >5 + x$

=>$2x -16>5+x$

=>$2x - x > 16+5$

. °. $\large\green{\boxed{x >21}}.$

Therefore x can sustain all values greater than 21 .

______________________________________

On drawing number line,

<———————|——————|———|—>

$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:0\:\:\:\:\:\:\:\: 21\:\:\:\:\:\:\:\:\:\:∞$

. °. $x \epsilon(21, ∞)$

$\huge\orange{\boxed{x \epsilon(21, ∞) }}$