Question

List 3 values that would make this inequality true 9-n_>4?

*show work please

Answer 1

First, let's try isolating x so we can more easily figure out numbers that work here:

9 - n ≥ 4 (I'm assuming that _> means ≥)

-n ≥ -5

n ≤ 5

Now that we have a simpler equation, we can more easily deduce three numbers that work.

The three values are 5, 4, and 3.

Answer 2

n ≤ 5; any number less than or equal to 5 is a solution

Explanation:

9 - n ≥ 4

the first step: we would need to isolate n in order to find a solution to the inequality

9 - n ≥ 4 < -- subtract 9 from both sides to get n alone.

-9 -9

-n ≥ -5 <--- divide both sides by -1 to get n by itself, as we dont want a negative coefficient

but we need to remember: when you divide by a negative number in an inequality, you flip the sign. so ≥ would become ≤. this is very important because this insures we get the right answer

-n / -1 = n

-5/-1 = 5

n ≤ 5

the above inequality means that any number (n) that is less than or equal to 5 is an answer to this inequality

to check just to be sure, lets plug in 3 numbers for n into the original inequality. i will use the values 5, 2, and -1

9 - (5) ≥ 4

4 ≥ 4 this is true

9 - (2) ≥ 4

7 ≥ 4 this is true

9 - (-1) ≥ 4

10 ≥ 4 this is true

so any number thats less than or equal to 5 is the answer to the solution