The solution of the inequality is x ≥ 1.
Solution:
Given inequality:
[tex]3 x+8 \geq 11[/tex]
To find the solution of the inequality:
[tex]3 x+8 \geq 11[/tex]
Subtract 8 from both sides.
[tex]3 x+8-8 \geq 11-8[/tex]
[tex]3 x \geq 3[/tex]
Divide by 3 on both sides.
[tex]$\frac{3 x}{3} \geq \frac{3}{3}[/tex]
On simplifying this, we get
[tex]x \geq 1[/tex]
The solution of the inequality is x ≥ 1.
The graph of the solution is attached below.
