Question

Is the inequality true. -2(2x+9)>_4x+9

Answer 1

The inequality is False

Explanation:

We say that an inequality is true when the inequality symbol is satisfied. For example

`5> 2` → True

On the contrary when inequality is not satisfied we say that it is false. For example:

`2> 30` → False

2 is not greater than 30, therefore it is said that inequality is not satisfied.

In this case we have the following inequality:

`-2(2x+9)>-4x+9`

To find out if inequality is satisfied, we simplify the terms

`-2(2x+9)>-4x+9`

`-4x-18>-4x+9`

`-18>9`

Observe that -18 is not greater than 9, therefore it is said that inequality is not satisfied.

Answer 2

The inequality is not true

Explanation:

we have

`-2(2x+9)> -4x+9`

Distributed left side

`-4x-18 > -4x+9`

Adds 4x both sides

`-18 > 9` ----> is not true