Question

Given: 9x > -36. Choose the solution set. {x | x < -4} {x | x < 4} {x | x > 4} {x | x > -4}

Answer 1

$\bf{9x > -36 }$

Divide both sides by 9.

$\bf{\dfrac{9x}{9} > \dfrac{-36}{9} }$

$\bf{x > -4 \ \ \to \ \ \ Answer}$

{ Pisces04 }

Answer 2

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 :)