Question

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

Answer 1

x > -4

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

hope this helps!! have a lovely day :)

Answer 2

`\bf{9x > -36 }`

Divide both sides by 9.

`\bf{(9x)/(9) > (-36)/(9) }`

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

{ Pisces04 }