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3 years ago

Solve each compound inequality (show your work!)

Mathematics

1 answer:

zimovet [89]3 years ago

4 0

Answer: -1 < x < 8

x = 3

x ≠ 2

Step-by-step explanation:

Isolate x in the middle. Perform operations to all 3 sides.

-6 < 2x - 4 < 12

+4 +4 +4

-2 < 2x < 16

÷2 ÷2 ÷2

-1 < x < 8

**************************************************************************

Isolate x. Solve each inequality separately. Remember to flip the sign when dividing by a negative.

4x ≤ 12 and -7x ≤ 21

÷4 ÷4 ÷-7 ÷-7

x ≤ 3 and x ≥ 3

Since it is an "and" statement, x is the intersection of both inequalities.

When is x ≤ 3 and ≥ 3? when x = 3

****************************************************************************

Isolate x. Solve each inequality separately.

15x > 30 or 18x < -36

÷15 ÷15 ÷18 ÷18

x > 2 or x < 2

Since it is an "or" statement, x is the union of both inequalities.

When we combine the inequalities, x is every value except 2.

x ≠ 2

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Elodia [21]

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Step-by-step explanation:

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Sorry if I couldn't explain well enough, which is not something I'm good at. I hope you get the question right! Glad I could help! :)

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