part 1)
we have
[tex]\begin{gathered} 2x-12\ge8 \\ 2x\ge8+12 \\ 2x\ge20 \\ x\ge10 \end{gathered}[/tex]
In a number line the solution is the shaded area at right of x=10 (close circle)
the solution is the interval {10, infinite)
Part 2) we have
m <10
In a number line the solution is the shaded area at left of m=10 (open circle)
tyhe solution is the interval (-infinite, 10)
