Question

help plz

· Book :- Concise Mathematics (Selina)

· Edition :- October 2019

· Chapter :- Linear Inequalities

· Exercise 4 B

· Question Number :- 20

Please graph the numberline on paper and pen​

Answer 1

$\purple{- \frac{1}{3} ≤ \frac{x}{2} + 1 \frac{2}{3} < 5\frac{1}{6} }$

$\pink {- \frac{1}{3} - \frac{5}{3} ≤ \frac{x}{2} < \frac{31}{6} - \frac{5}{3}}$

$\pink{ - \frac{6}{3} ≤ \frac{x}{2} < \frac{21}{6}}$

$\overline{ \underline{ \fbox \red { - 4 < = x < 7}}}$

_______________________________

$\bold{ \fbox{1} - if \: x \: \in \: W}$

$\Rrightarrow \: \pmb{ range \: of \: values \:of \: x \: is \: \{ 0,1,2,3,4,5,6\}}$

________________________________

$\bold{\fbox{2} - if \: x \: \in \: Z}$

$\Rrightarrow \: \pmb{ range \: of \: values \:of \: x \: is \: \{ - 4, - 3, - 2, - 1,0,1,2,3,4,5,6\}}$

________________________________

$\bold{\fbox{3} - if \: x \: \in \: R}$

$\Rrightarrow \: \pmb{ range \: of \: values \:of \: x \: is \: \{ - 4≤x < 7\}}$

________________________________

Answer 2

Step-by-step explanation:

$\purple{- \frac{1}{3} ≤ \frac{x}{2} + 1 \frac{2}{3} < 5\frac{1}{6} }$

$\pink {- \frac{1}{3} - \frac{5}{3} ≤ \frac{x}{2} < \frac{31}{6} - \frac{5}{3}}$

$\pink{ - \frac{6}{3} ≤ \frac{x}{2} < \frac{21}{6}}$

$\overline{ \underline{ \fbox \red { - 4 < = x < 7}}}$

_______________________________

$\bold{ \fbox{1} - if \: x \: \in \: W}$

$\Rrightarrow \: \pmb{ range \: of \: values \:of \: x \: is \: \{ 0,1,2,3,4,5,6\}}$

________________________________

$\bold{\fbox{2} - if \: x \: \in \: Z}$

$\Rrightarrow \: \pmb{ range \: of \: values \:of \: x \: is \: \{ - 4, - 3, - 2, - 1,0,1,2,3,4,5,6\}}$

________________________________

$\bold{\fbox{3} - if \: x \: \in \: R}$

$\Rrightarrow \: \pmb{ range \: of \: values \:of \: x \: is \: \{ - 4≤x < 7\}}$

_____________________________