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Debora [2.8K]
3 years ago
11

Solve the compound inequality n-4 > 5 AND 2 > n + 3

Mathematics
1 answer:
Papessa [141]3 years ago
5 0
Get n by itself in both inequalities

(This program doesn't allow for regular less than or greater than signs, so for the purposes of this problem I will be using less than or equal to (≤) and greater than or equal to (≥) signs)

Inequality 1:
n-4   \geq 5 \\ n \geq 9

Inequality 2:
2 \geq n+3 \\ -1 \geq n

Now that you have both of the n's by themselves, you can put the two inequalities together, like this
-1 \geq n \geq 9

Just keep in mind that these are supposed to be regular less than signs
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4 years ago
Solve the system of equations by graphing. x+y=-9 4x+y=-19
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For this case we have the following system of equations:

x + y = -9\\4x + y = -19

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-4x-4y = 36

We have the following equivalent system of equations:

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We add the equations:

-4x + 4x-4y + y = 36-19\\-3y = 17\\y = - \frac {17} {3}

We find the value of the variable "x":

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Thus, the solution of the system is:

(x, y): (- \frac {10} {3}, - \frac {17} {3})

See the graphic in the attached image

ANswer:

(x, y): (- \frac {10} {3}, - \frac {17} {3})

See the graphic in the attached image

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