## Elementary Algebra

The solution set is {n|n $\geq$ $\frac{7}{5}$ } , or [$\frac{7}{5}$, $\infty$) in interval notation.
We use the properties of inequalities to solve this inequality. -2(n-1) $\leq$ 3(n-2) + 1 Use the distributive property. -2n + 2 $\leq$ 3n -6 + 1 -2n + 2 $\leq$ 3n -5 5 + 2 $\leq$ 3n + 2n 7 $\leq$ 5n Divide both sides by 7. $\frac{7}{5}$ $\leq$ n The solution set is {n|n $\geq$ $\frac{7}{5}$ } , or [$\frac{7}{5}$, $\infty$) in interval notation.