Question

Which graph shows the solution set for 2 x + 3 greater-than negative 9?

A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the left of the circle is shaded.
A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the right of the circle is shaded.
A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the left of the circle is shaded.
A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the right of the circle is shaded.

Answer 1

The person in the comments said...

The answer is c. When your dividing by a negative number the arrow is turned around.

Explanation:

Hi, have a great day/night whichever one, stay safe and always be kind ^w^

p.s. i'm giving all the credit to the person in the comments

Answer 2

Correct option is D) A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the right of the circle is shaded.

Explanation:

We have following inequality :2 x + 3 greater-than negative 9 or ,

⇒
`2x+3>-9`

Let's solve this :

⇒
`2x+3>-9`

⇒
`(2x+3)+9>-9+9`

⇒
`2x+12>0`

⇒
`(2x+12)-12>0-12`

⇒
`2x>-12`

⇒
`x>-6`

So , the value of x is greater then -6 . So , Correct option is D) A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the right of the circle is shaded.