# How do you solve 1/2 x - 1/10<=x + 1?

x $\ge$ -2.2
If one subtracts x from both sides of the inequality, one gets $- \frac{1}{2} x - \frac{1}{10} \le 1$. So, by adding $\frac{1}{10}$ to both sides, one gets $- \frac{1}{2} x \le 1.1$. Multiplying both sides by 2, one gets $- x \ge 2.2$. Multiplying both sides of the inequality by -1, which reverses the inequality from $\le$ to $\ge$, one gets $x \ge - 2.2$.