To graph the inequality 4x - 9 ≥ -21, we first need to solve it for x:
4x - 9 ≥ -21
Add 9 to both sides:
4x ≥ -21 + 9
4x ≥ -12
Divide both sides by 4:
x ≥ -3
Now that we have the solution x ≥ -3, we can draw the graph. Since it is an inequality with a "greater than or equal to" symbol, we should use a solid line to represent the boundary and shade the area above the line to indicate all the x values that satisfy the inequality.
The graph will be a horizontal line at y = -3, with shading above the line.
Here is a rough sketch of the graph:
```
`
` ` ` ` ` ` ` ` ` ` ` ` ` `
` ` ` ` ` ` ` ` ` ` ` ` ` `
` • • • • • • • • • • • • • •
`_____________________
`
` ` ` ` ` ` ` ` ` ` ` ` ` `
` ` ` ` ` ` ` ` ` ` ` ` ` `
`
```
The solid line represents the boundary x = -3, and the shaded area above the line represents the values of x that satisfy the inequality 4x - 9 ≥ -21.
4x−9≥−21 ?(1 point) Responses
as a graph.
1 answer