Answer:
The number line which represents the solution of the inequality is in the attached figure (The 1st one in the second row of attached drawing)
Step-by-step explanation:
Let us revise some facts about the solutions of an inequality
- If x ≥ a, then the solution is a line started from a with bold circle and pointed to the right
- If x ≤ a, then the solution is a line started from a with bold circle and pointed to the left
- If x > a, then the solution is a line started from a with empty circle and pointed to the right
- If x < a, then the solution is a line started from a with empty circle and pointed to the left
∵ 3x - 23 ≥ -5
- Add 23 to both sides
∴ 3x - 23 + 23 ≥ -5 + 23
∴ 3x ≥ 18
- Divide both sides by 3
∴ [tex]\frac{3x}{3}[/tex] ≥ [tex]\frac{18}{3}[/tex]
∴ x ≥ 6
- By using the 1st fact above
∴ The solution is a line started from 6 with bold circle and
pointed to the right
The number line which represents the solution of the inequality is in the attached figure (The 1st one in the second row of attached drawing)
