Question

QUICK WHATS THIS ANSWER?!?

Answer 1

C.
`-x-6>-3.5`

Explanation:

One is asked to find which inequality has (
`x=-3`) in its solution set. Remember that an inequality is another way to represent a set of solutions. In essence, it states that all numbers less than; less than or equal to; greater than; or greater than or equal to, are a part of the solution. One simplifies an inequality in a similar manner to how one simplifies an equation, by using inverse operations and simplification. Just note that when multiplying or dividing the inequality by a negative number, one has to flip the inequality sign to ensure the expression remains true.

Simplify each of the inequalities, then evaluate to see which one has (
`x=-3`) as a part of its solution set.

A.
`-x -6<-3.5`

`-x<2.5`

`x>-2.5`

B.
`-x-6>3.5`

`-x>9.5`

`x<-9.5`

C.
`-x-6>-3.5`

`-x>2.5`

`x<-2.5`

D.
`x-6>-3.5`

`x>2.5`

As can be seen, option (C
`-x-6>-3.5`) is the only one that fits this requirement. Since option (C) simplifies down to (
`x<-2.5`) or in words, (x) is less than (-2.5). This option is the only one that fits the solution since (-3) is less than (-2.5).