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3 years ago

8

What is the solution to the compound inequality 3x-8>-5 and 2x-7<5

1 answer:

-BARSIC- [3]3 years ago

6 0

Answer:

<h2>1 < x < 6 ⇒ x ∈ (1, 6)</h2>

Step-by-step explanation:

3x - 8 > -5 <em>add 8 to both sides</em>

3x > 3 <em>divide both sides by 3</em>

x > 1

2x - 7 < 5 <em>add 7 to both sides</em>

2x < 12 <em>divide both sides by 2</em>

x < 6

From x > 1 and x < 6 we have the solution 1 < x < 6 ⇒ x ∈ (1, 6)

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