The range of all real numbers x such that 2x − 5 < 7 and 4x + 10 > 6 is? a. (-1, 6) b. (-infinity, infinity) c. an empty set d. (6, -1) the range of all real numbers x such that 2x − 5 < 7 or 4x + 10 > 6 is? a. (-1, 6) b. (-infinity, infinity) c. an empty set d. (6, -1)

The range of all real numbers x such that 2x − 5 < 7 and 4x + 10 > 6 would be such that

Mathematically, -1 < x < 6 can be written as (-1,6).
Hence, option A i.e. (-1,6) is the final answer.

For second question, 2x − 5 < 7 or 4x + 10 > 6
We would have x < 6 OR x > -1.
It means x could take any value either less than 6 OR greater than -1. In other words, x could take all values on number line. Hence, option B i.e. (-infinity, infinity) would be correct answer for second question.

The answer would be c.hope this .