The solution of the inequality is x ≥ 34.5.
Solution:
Given data:
[tex]$\frac{2x}{3}-5 \geq 18[/tex]
To solve for x:
[tex]$\frac{2x}{3}-5 \geq 18[/tex]
Add 5 on both sides.
[tex]$\frac{2x}{3}-5 +5\geq 18+5[/tex]
[tex]$\frac{2x}{3}\geq 23[/tex]
Multiply by 3 on both sides.
[tex]$\frac{2x}{3}\times 3\geq 23 \times 3[/tex]
[tex]$2x\geq 69[/tex]
Divide by 2 on both sides.
[tex]$\frac{2x}{2} \geq \frac{ 69}{2}[/tex]
[tex]$x\geq34.5[/tex]
The solution of the inequality is x ≥ 34.5.
