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Find all real numbers x such that 3x - 4 >5 and 8x - 19<
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Find all real numbers x such that
3x - 4 >5 and 8x - 19<

User Sanjay Hadiya
by
5.2k points

1 Answer

7 votes

Answer:

x < 2 ∪ x > 3

Explanation:

Rewrite 3x - 4 > 5 as 3x > 9. This tells us that x must be greater than 3.

Rewrite 8x - 10 < 6. Thus, 8x < 16 and x < 2.

The "solution set" is thus all real numbers to the left of 2 OR to the right of 3.

User BrainLoop
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5.2k points
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