Question

Find the value of x which satisfies the equation minus 2 lesser or equal to 1 by 2 minus 2 X by 3 less or equal to 15 by 6 where X is a natural number graph the solution on the number line

Answer 1

Given :  - 2 ≤ 1/2  -  2x/3  ≤  15/6

X is natural number

To Find :  Value of X

Solution:

- 2 ≤ 1/2  -  2x/3  ≤  15/6

- 2 ≤ 1/2  -  2x/3

=>  2x/3   ≤  1/2 + 2

=> 4x  ≤   3 + 12

=>  4x  ≤   15

=> x   ≤   15/4

1/2  -  2x/3  ≤  15/6

=> 1/2 - 15/6 ≤ 2x/3

=> 3 - 15   ≤ 4x

=>  -12    ≤ 4x

=> - 3  ≤  x

- 3  ≤  x  ≤   15/4

x  is natural number hence

x = { 1 , 2 , 3 }

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Answer 2

$\huge \tt \mid\colorbox{yellow}{ANSWER} \mid$

$- 2 \leqslant = \frac{1}{2} - \frac{2x}{3} \leqslant \frac{15}{6}$

$\tt \: x \:i s \: the \: natural \: number \: ({1 \: 2 \: 3 })$