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Answer :

Answer:

[tex]n \leq -48[/tex]

Step-by-step explanation:

Step 1:  Convert to an expression

8 - 1/4 n is greater than or equal to 20

[tex]8 - \frac{1}{4}n \geq 20[/tex]

Step 2:  Subtract 8 from both sides

[tex]8 - 8 - \frac{1}{4}n \geq 20 - 8[/tex]

[tex]- \frac{1}{4}n \geq 12[/tex]

Step 3:  Multiply both sides by -4

[tex]- \frac{1}{4}n * -4 \geq 12 * -4[/tex]

Since we are multiplying by a negative we flip the greater than equal sign to a less than equal sign.

[tex]n \leq -48[/tex]

Answer:  [tex]n \leq -48[/tex]