Question

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

Answer 1

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.