Question

Which value in the set of values below is NOT a solution to the inequality 10- 2y ≥ 4?

Set: {1, 2, 3, 4}
1. 1
2. 2
3. 3
4. 4

Answer 1

Option 4: 4 is the correct answer

Explanation:

The given inequality is:

10- 2y ≥ 4

In order to check which value is not the solution to the inequality we have to put each value in the inequality. If the inequality is true for the value, it is the solution and it is not true then it is not the solution.

Putting y = 1

`10-2y\geq 4\\10-2(1)\geq 4\\10-2\geq 4\\8\geq 4`

TRUE

Putting y=2

`10-2y\geq 4\\10-2(2)\geq 4\\10-4\geq 4\\6\geq 4`

TRUE

Putting y=3

`10-2y\geq 4\\10-2(3)\geq 4\\10-6\geq 4\\4\geq 4`

TRUE

Putting y=4

`10-2y\geq 4\\10-2(4)\geq 4\\10-8\geq 4\\2\geq 4`

FALSE

The inequality is not true for y=4.

Hence,

Option 4: 4 is the correct answer