Question

1>15-7x>2x_27 xen solve the equation
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Answer 1

Answer:

x € { 2 , 3 , 4 }

Solution:

We have ;

1 ≥ 15 - 7x > 2x - 27 , x € N

The given inequation can be rewritten seperately as follow ↓

=> 1 ≥ 15 - 7x and 15 - 7x > 2x - 27 , x € N

=> 7x ≥ 15 - 1 and 15 + 27 > 2x + 7x , x € N

=> 7x ≥ 14 and 42 > 9x , x € N

=> 7x ≥ 14 and 9x < 42 , x € N

=> x ≥ 14/7 and x < 42/9 , x € N

=> x ≥ 2 and x < 42/9 , x € N

=> 2 ≤ x < 42/9 , x € N

=> 2 ≤ x < 4.666... , x € N

=> x € { 2 , 3 , 4 }

Hence,

The required answer is ;

x € { 2 , 3 , 4 }

Step-by-step explanation: