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3 years ago

HELP PLEASE -9x + 3 > 39 OR - 5x + 6 < 16

Mathematics

1 answer:

Mama L [17]3 years ago

3 0

9514 1404 393

Answer:

(-∞, -4) ∪ [-2, ∞)

Step-by-step explanation:

The solution to the first inequality is ...

-9x +3 > 39

-9x > 36 . . . . . subtract 3 from both sides

x < -4 . . . . . . . divide both sides by -9; reverse > to < because -9 is negative

The solution to the second inequality is ...

-5x +6 ≤ 16

-5x ≤ 10 . . . . . . . subtract 6 from both sides

x ≥ -2 . . . . . . divide both sides by -2; reverse ≤ to ≥ because -2 is negative

These solution sets are disjoint. The solution of the OR of these inequalities is the union of the solution sets. The graph is shown below. In interval notation, it is described by ...

(-∞, -4) ∪ [-2, ∞)

The -2 has a square bracket because it is included in the set. The curved bracket at -4 indicates it is not included.

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