Question

Can some please help I’m stuck :(

Answer 1

"I Only" is the correct answer

Explanation:

Given inequality is:

-10>3x-6

In order to check which numbers are solution to the given inequality, we will put each number one by one in the inequality. If the inequality is true after putting the number, the number is the solution of the inequality.

So,

I . -10

Putting -10 in the inequality

`-10>3x-6\\-10>3(-10)-6\\-10>-30-6\\-10> -36`

The inequality results in true after putting x=-10 so -10 is the solution of inequality.

II. 5

Putting 5 in the inequality

`-10>3x-6\\-10>3(5)-6\\-10>15-6\\-10>9`

The equality doesn't hold true for x=5 so 5 is not the solution of the problem.

III. -1

Putting -1 in the equation

`-10>3x-6\\-10>3(-1)-6\\-10>-3-6\\-10>-9`

Inequality doesn't hold true for x=-1 so it is not the solution of the inequality.

Hence,

"I Only" is the correct answer as only -10 is the solution of inequality.