# Thread: Elementary Algebra Problem - Solving Inequalities

1. ## Elementary Algebra Problem - Solving Inequalities

Solve using the addition and multiplication principles.

x -1 < 1
2 7

The 7 is supposed to be under the 1

My math teacher was talking about using multiplication adn multiplying everything by a number to help get rid of the fractions but i cant remember to save my life what he was talking about when he quickly showed me after class.

2. Hi

$\frac{x}{2}-1 \leq \frac17$

If you multiply both members by 2, which is a positive number, you do not change the sense of the inequality

$2 \times \left(\frac{x}{2}-1\right) \leq 2 \times \frac17$

Expanding
$x-2 \leq \frac27$

$x \leq 2 + \frac27$