# How do you solve and write the following in interval notation: -12x + 18 >= -10x + 14?

Feb 8, 2017

x in ]-oo;2]

#### Explanation:

First you would move the x-terms to the left side of the equation and the numeric terms to the right:

$- 12 x + 10 x \ge - 18 + 14$

that's

$- 2 x \ge - 4$

$2 x \le 4$

$x \le 2$

whose interval notation is:

x in ]-oo;2]