thx in advance for the help

Answer: [tex]x\geq 13[/tex]
Step-by-step explanation:
Given
The inequality is [tex]2x-7\geq 19[/tex]
adding both side 7
[tex]2x-7+7\geq 19+7\\2x\geq 26[/tex]
Multiply both sides by [tex]\frac{1}{2}[/tex]
[tex]\dfrac{1}{2}\times 2x\geq 26\times \dfrac{1}{2}\\\\x\geq 13[/tex]
the shaded region in the figure indicates the solution set.