Answer:
Solution set for x is x ≤ -3
First option
Explanation:
We have the equation
- 4x ≥ 12
Divide both sides by 4:
- x ≥ 12/4
-x ≥ 3
Multiply by -1 to make x positive. When we multiply an inequality by a negative number the inequality sign changes: ≥ becomes ≤
Therefore we get
x ≤ 3
On the number line this is represented by the first choice
Note that the 3rd and 4th choices are easily eliminate since they represent ≥ -3 and > -3
Choice #2 has an unfilled circle at -3. This represents a < inequality
A filled circle represents a ≤ inequality
Answer
Solution set for x is x ≤ -3
First option