How do you write the inequality and solve "the sum of 3 times a number and 4 is between -8 and 10#?
First off we have the statement "3 times a number plus 4".
Part of the fun of math is variables. It can be any symbol you want to stand for the number. For simplicity I chose the letter n for "number".
So the English statement "3 times a number plus 4" becomes
these two statements can be combined into
Now it's time to solve.
Now we can divide by 3, because it's a common factor
So now we know that n is between -4 and 2. The inequality is simplified.