Question

find the solution set to the inequality 17-4x<7,x belongs to Z.​

Answer 1

Answer:

x € { 3 , 4 , 5 , 6 , ... }

Solution:

We have ;

=> 17 - 4x < 7 , x € Z

=> 17 - 7 < 4x , x € Z

=> 10 < 4x , x € Z

=> 4x > 10 , x € Z

=> x > 10/4 , x € Z

=> x > 5/2 , x € Z

=> x > 2½ , x € Z

=> x € { 3 , 4 , 5 , 6 , ... }

Hence,

Required answer is ;

x € { 3 , 4 , 5 , 6 , ... }

Answer 2

Solution set A:{3,4,5,6,...}

Given:

• $17 - 4x < 7 \: ,where \: x \in \: X$

To find:

• Find the solution set to the inequality.

Solution:

Step 1:

$17 - 4x < 7$

or

Subtract 17 from both sides.

$- 4x < 7 - 17$

or

$- 4x < - 10$

Multiply by (-1).

$4x > 10$

or

Divide by 4 both sides.

$x > \frac{10}{4}$

or

$x > \frac{5}{2}$

or

$\bf x > 2 \frac{1}{2}$

Step 2:

As x belongs to integers, and solution set of inequality is A.

So,

Solution set contain only integer values which are greater than 5/2.

Thus,

Solution set A:{3,4,5,6,...}

Learn more:

1) FIND THE SOLUTION SET FOR 7< 11 - 4x < 2x + 18 , where x belong to Z.

please provide explanation.

https://brainly.in/question/34995843

2) Graph the solution set to this inequality. 3x - 11 > 7x + 9

https://brainly.in/question/41637876