Ok, so
We want to solve the following compound inequalities.
[tex]x-2\leq0\ldots or\ldots7x-5\ge65[/tex]We're going to solve each inequality as follows:
The first inequality:
[tex]\begin{gathered} x-2\leq0 \\ x\leq2 \end{gathered}[/tex]The second one:
[tex]\begin{gathered} 7x-5\ge65 \\ 7x\ge70 \\ x\ge10 \end{gathered}[/tex]And finally, put these solutions in the number line:
The solution in interval notation will be:
(-inf,2]U[10,inf)
