Help with my homework pls Solve the compound inequality y + 7 ≥ –1 and y∕4 + 3 ≤ 5.

Mathematics

1 answer:

Marianna [84]2 years ago

8 0

Answer:

-8 ≤ y ≤ 8

Step-by-step explanation:

Subtract 7 from the first one:

y ≥ -8

Subtract 3 from the second one, then multiply by 4.

y/4 ≤ 2

y ≤ 8

Now, you can write these as a compound inequality:

-8 ≤ y ≤ 8

_____

<em>Additional comment</em>

You basically solve these the same way you would an equation. The only difference is that multiplying or dividing by a negative number will reverse the inequality symbol:

2 > 1

-2 < -1 . . . . . multiplied above by -1.

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