[tex]\bf{9x > -36 }[/tex]
Divide both sides by 9.
[tex]\bf{\dfrac{9x}{9} > \dfrac{-36}{9} }[/tex]
[tex]\bf{x > -4 \ \ \to \ \ \ Answer}[/tex]
Answer:
{x | x > -4}
Step-by-step explanation:
{a few basic reminders: > means greater than; < means less than; ≥ means greater than or equal to; ≤ means less than or equal to
for example: 4 < 7
4 ≤ 4
4 ≥ 3
4 > 3}
When we see an inequality, such as 9x > -36, we are trying to figure out what possible numbers x can be to make this statement true.
We can either use logic / words (see below), or in a much more efficient manner, we can solve this algebraically [as though it were an equation]
So, like when working with any other variable, we want to isolate x:
9x > -36
÷9 ÷9
x > -4
just in case none of this makes sense (it can be quite confusing at first),
here's how we can think about it logically
we know that whatever multiplies with 9 must be more than -36, and because -4 multiples with 9 to be exactly -36, any number greater than -4 also will be greater than -36
meaning that x must be more than -4, which we express as: x > -4
So, the solution set (solution set means set of possible solutions) is
{x | x > -4}
hope this helps!! have a lovely day :)
