# How do you write the inequality and solve given "A number decreased by 4 is more than -1"?

Feb 20, 2017

I tried this:

#### Explanation:

I would write these conditions as:
$x - 4 > - 1$
rearranging:
$x > 4 - 1$
$x > 3$

Feb 20, 2017

$x > 3$

#### Explanation:

let the number be represented by x

Then 'decreased' by 4 means $\textcolor{b l u e}{\text{subtracting}}$ 4 from it.

$\Rightarrow x - 4 \text{ represents the statement}$

$\text{more than is represented by the symbol } >$

$\Rightarrow x - 4 > - 1 \text{ is the complete statement}$

To solve this, isolate the x term on the left side of the inequality by adding 4 to both sides.

$x \cancel{- 4} \cancel{+ 4} > - 1 + 4$

$\Rightarrow x > 3 \text{ is the solution}$