3 years ago

Solve a combined inequality that is a conjunction of two linear equalities.

Mathematics

1 answer:

deff fn [24]3 years ago

8 0

Answer:

-10 < n < 8
5/4 < x ≤ 6

Step-by-step explanation:

1. Subtract 9:

-10 < n < 8

2. Add 12, then divide by 8:

10 < 8x ≤ 48

10/8 < x ≤ 6

5/4 < x ≤ 6 . . . . . with the fraction reduced

_____

The rules of equality allow us the do these operations, provided that we <em>do them to all parts</em> of the compound inequality. That is, when we say "subtract 9", we mean ...

-1 -9 < 9 +n -9 < 17 -9

This simplifies to the inequality we show above:

-10 < n < 8

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