Question

the solution of 4x−9≥−21

Answer 1

put this answer on a number line

Answer 2

closed circle or opened circle

Answer 3

To solve the inequality 4x - 9 >= -21, first add 9 to both sides:

4x - 9 + 9 >= -21 + 9
4x >= -12

Next, divide by 4 to isolate the variable x:

4x/4 >= -12/4
x >= -3

Therefore, the solution to the inequality 4x - 9 >= -21 is x >= -3.

Answer 4

To graph this inequality on a number line, start by plotting an open circle at the point -3, and shade the area to the right of -3 to show that x is greater than or equal to -3.

Here is how it looks on a number line:

< -3 ---------o---------------->
x


The open circle at -3 indicates that x can be equal to -3, and the shading to the right shows all values of x greater than -3.

Answer 5

I apologize for the mistake in my previous response. The correct symbol to use in this case would be a closed circle at -3 to indicate that x is greater than OR equal to -3.

Here is the corrected number line representation:

-3 ---------•---------------->
x


I appreciate your attention to detail and hope this clarification helps.