If ( 3\le 3t-18\le 18, ) then which one of the following is... | Mathematics | SolveeIt

Question

If $3\le 3t-18\le 18,$ then which one of the following is true?

$15\le 2t+1\le 20$

$8\le t<12$

$8\le t+1\le 13$

$21\le 3t\le 24$

Answer

$8\le t+1\le 13$

Explanation

Solution

We have $3\le 3t-18\le 18$
$\Rightarrow$ $3+18\le 3t\le 18+18$
$\Rightarrow$ $21\le 3t\le 36$
$\Rightarrow$ $7\le t\le 12$
$\Rightarrow$ $8\le t+1\le 13$

Mathematics Question on linear inequalities

Solution