# How do you write the inequality and solve given "the sum of a number and -2 is no more than 6"?

Feb 26, 2017

#### Answer:

$x - 2 \le 6$

$x \le 8$

#### Explanation:

A sum is the result of addition.

The sum of a number and $- 2$ means the addition of a variable (to represent the number), which I'll call $x$, and $- 2$:

$x + \left(- 2\right) = x - 2$.

No more than $6$ means the sum is equal to or less than $6$.

$x - 2 \le 6$

Solution

Add $2$ to both sides.

$x \le 6 + 2$

$x \le 8$