# How do you solve 5x - 2< 8?

Jul 4, 2018

I tried this:

#### Explanation:

We evaluate it like a normal equation, isolating $x$ on one side and solving for $x$:

$5 x < 8 + 2$

$5 x < 10$

$x < \frac{10}{5}$

$x < 2$

this means that the original inequality was satisfied only for values of $x$ that are smaller than $2$.
You can check it by substituting values such as $x = 3$, you get:

$\left(5 \cdot 3\right) - 2 < 8$ which is not true.

while if you try $x = 1$ (which is smaller than $2$) you get:

$\left(5 \cdot 1\right) - 2 < 8$ which is true.

Jul 4, 2018

$x < 2$

#### Explanation:

For the most part, we can treat this like an equation, since we won't end up dividing or multiplying by a negative. Let's add $2$ to both sides to get

$5 x < 10$

Our last step would be to divide both sides by $5$, and we get

$x < 2$

Hope this helps!