Question

solve the following inequatiom and write down the solution set: 11x-4<15x+4<13x+14, x=whole numbers​

Answer 1

Step-by-step explanation:

11 x -4 <15x+4 <13x +14; x€ w

11x -15x <4+4

-4x<8

-4x<2

x>-2

15x +4<13 x+14

15x-13x<14-4

2x<10

x<5

Set={0,1,2,3,4}

Answer 2

Answer:

Our solution set becomes x={0,1,2,3,4}

Step-by-step explanation:

It is given to us that $11 x -4 < 15x+4 < 13x +14$ where x€ w

By using the first inequation we get

$11x-4 < 15x+4\\11x -15x < 4+4\\-4x < 8\\-x < 2\\x > -2$

Now by using second inequation we get

$15x +4 < 13 x+14\\15x-13x < 14-4\\2x < 10\\x < 5$

From above two conditions our solution set becomes x={0,1,2,3,4}
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