# How do you write an inequality and solve given "the sum of nine times a number and fifteen is less than or equal to the sum of twenty four and ten times the number"?

Oct 2, 2016

The inequality for this is $9 x + 15 \le 24 + 10 x$.

#### Explanation:

Now that we know what our inequality is, we can now solve for $x$. To do this, we have to subtract 24 from each side:

$9 x + 15 - 24 \le 24 + 10 x - 24$

$9 x - 9 \le 10 x$

Next, let's subtract $9 x$ from each side:

$9 x - 9 - 9 x \le 10 x - 9 x$

$- 9 \le 9 x$

Finally, let's divide each side by 9 to get our answer:

$- \frac{9}{9} \le \frac{9 x}{9}$

$- 1 \le x$