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

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.

Step-by-step 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.

Answer 2

Answer:

The person in the comments said...

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

Step-by-step 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