# What is the solution to the inequality 7x - 5 ≥ x + 1?

Jul 6, 2016

$x \ge 1$, or, in the interval form, $x \in \left[1 , \infty\right)$

#### Explanation:

Adding $\left(- x + 5\right)$ on both sides, we get,
$7 x - 5 - x + 5 \ge x + 1 - x + 5 \Rightarrow 6 x \ge 6$

Next, we multiply on both side by $\frac{1}{6}$, noting that $\frac{1}{6}$ being $+ v e$, the multiplication will not affect the order of the inequality.

Hence, we have, $x \ge 1$, or, in the interval form, $x \in \left[1 , \infty\right)$