Question

Solve : 5 - 4x < x - 10, x ∈ { 0,1,2,3,4,5,6,7,8 }
find solution set

Answer 1

Answer:

4x – 5 > 10 – x, x ∈ N

⇒ 4x + x > 10 + 5

⇒ 5x > 15

⇒ x > (15/5) = 3

∴ x = 4, 5, 6, 7

Solution set = {4, 5, 6, 7}

Step-by-step explanation:

$Hope \: it \: helps.$

Answer 2

Given:

We have an equation of inequality which is 5-4x<x-10.

To Find:

We have to find the solution set of the given equation?

Step-by-step explanation:

We have given an inequality equation which is

5-4x < x-10 where x beolgs to {0,1,2,3,4,5,6,7,8}

• We will simplify the equation of inequality to get the value of x

•  First of all subtract 5 on both side of inequality

        5 - 5-4x < x - 10-5

               -4x < x -15

• Now we will take like terms one side and simplify them

        -5x < -15

• Now for removing the sign. of minus we will multiply the number by -1 and it will change the ineuality by the rules of inequality

      -5x(-1)>-15(-1)

         5x > 10

• Hence solve above equation and we get

      $x>\frac{15}{5} >3$

• Thus, the value of x should be greater then 3 which could be 4,5,6,7,8

Hence, the solution set is {4,5,6,7,8}.