JACOB V. answered 01/15/24
Biomedical Scientist. Patient & Experienced. All subject matter.
Hi Paige!
The first step to solving this problem is to set up an equation where we can solve for “a number” - We will call this variable “x”. The first term is 9x because you are looking for 9 times an unknown number and you are adding that to 30. When we sum both terms together, the answer will be greater than -20.
The equation ends up looking like 9x+30 > -20
To begin solving this, you’ll want to isolate the variable by subtracting 30 from each side of the equation. We are left with the new equation 9x > -50
The next step is to divide each side by 9 so that we have the value of “x”.
Our final answer is x > -50/9
Please note that with inequalities, if you are multiplying or dividing both sides by a negative number, you must flip the inequality sign ( “<“ would change to “>” and vice versa).